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Finding the Fourth Proportional to 224,042.38, 309,151.24 and 127,210.93

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Solution

The fourth proportional to 224,042.38, 309,151.24 and 127,210.93 is: 175,535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,042.38 : 309,151.24 = 127,210.93 : x
  2. Step 2: Convert to fraction form
    224,042.38/309,151.24 = 127,210.93/x
  3. Step 3: Cross multiply
    224,042.38x = 309,151.24 × 127,210.93
  4. Step 4: Simplify right side
    224,042.38x = 39,327,416,751.05
  5. Step 5: Solve for x
    x = 39,327,416,751.05/224,042.38
  6. Step 6: Final answer
    x = 175,535.61

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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.