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Finding the Fourth Proportional to 224,032.86, 309,165.17 and 123,430.86

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Solution

The fourth proportional to 224,032.86, 309,165.17 and 123,430.86 is: 170,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,032.86 : 309,165.17 = 123,430.86 : x
  2. Step 2: Convert to fraction form
    224,032.86/309,165.17 = 123,430.86/x
  3. Step 3: Cross multiply
    224,032.86x = 309,165.17 × 123,430.86
  4. Step 4: Simplify right side
    224,032.86x = 38,160,522,815.15
  5. Step 5: Solve for x
    x = 38,160,522,815.15/224,032.86
  6. Step 6: Final answer
    x = 170,334.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.