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Finding the Fourth Proportional to 224,662.53, 337,041.14 and 72,847.78

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Solution

The fourth proportional to 224,662.53, 337,041.14 and 72,847.78 is: 109,287.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,662.53 : 337,041.14 = 72,847.78 : x
  2. Step 2: Convert to fraction form
    224,662.53/337,041.14 = 72,847.78/x
  3. Step 3: Cross multiply
    224,662.53x = 337,041.14 × 72,847.78
  4. Step 4: Simplify right side
    224,662.53x = 24,552,698,157.19
  5. Step 5: Solve for x
    x = 24,552,698,157.19/224,662.53
  6. Step 6: Final answer
    x = 109,287.02

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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.