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Finding the Fourth Proportional to 363,945.60, 545,821.20 and 111,225.60

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Solution

The fourth proportional to 363,945.60, 545,821.20 and 111,225.60 is: 166,808.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,945.60 : 545,821.20 = 111,225.60 : x
  2. Step 2: Convert to fraction form
    363,945.60/545,821.20 = 111,225.60/x
  3. Step 3: Cross multiply
    363,945.60x = 545,821.20 × 111,225.60
  4. Step 4: Simplify right side
    363,945.60x = 60,709,290,462.72
  5. Step 5: Solve for x
    x = 60,709,290,462.72/363,945.60
  6. Step 6: Final answer
    x = 166,808.69

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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.