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Finding the Fourth Proportional to 131,458.60, 197,187.90 and 105,214.60

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Solution

The fourth proportional to 131,458.60, 197,187.90 and 105,214.60 is: 157,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,458.60 : 197,187.90 = 105,214.60 : x
  2. Step 2: Convert to fraction form
    131,458.60/197,187.90 = 105,214.60/x
  3. Step 3: Cross multiply
    131,458.60x = 197,187.90 × 105,214.60
  4. Step 4: Simplify right side
    131,458.60x = 20,747,046,023.34
  5. Step 5: Solve for x
    x = 20,747,046,023.34/131,458.60
  6. Step 6: Final answer
    x = 157,821.90

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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.