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Finding the Fourth Proportional to 224,332.50, 309,600.72 and 123,730.50

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Solution

The fourth proportional to 224,332.50, 309,600.72 and 123,730.50 is: 170,760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,332.50 : 309,600.72 = 123,730.50 : x
  2. Step 2: Convert to fraction form
    224,332.50/309,600.72 = 123,730.50/x
  3. Step 3: Cross multiply
    224,332.50x = 309,600.72 × 123,730.50
  4. Step 4: Simplify right side
    224,332.50x = 38,307,051,885.96
  5. Step 5: Solve for x
    x = 38,307,051,885.96/224,332.50
  6. Step 6: Final answer
    x = 170,760.15

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Why These Related Problems?

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