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Finding the Fourth Proportional to 121,319,214.60, 181,978,821.90 and 53,294,766.60

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Solution

The fourth proportional to 121,319,214.60, 181,978,821.90 and 53,294,766.60 is: 79,942,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,319,214.60 : 181,978,821.90 = 53,294,766.60 : x
  2. Step 2: Convert to fraction form
    121,319,214.60/181,978,821.90 = 53,294,766.60/x
  3. Step 3: Cross multiply
    121,319,214.60x = 181,978,821.90 × 53,294,766.60
  4. Step 4: Simplify right side
    121,319,214.60x = 9,698,518,839,303,470
  5. Step 5: Solve for x
    x = 9,698,518,839,303,470/121,319,214.60
  6. Step 6: Final answer
    x = 79,942,149.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.