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Finding the Fourth Proportional to 224,041.38, 309,149.87 and 127,209.93

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Solution

The fourth proportional to 224,041.38, 309,149.87 and 127,209.93 is: 175,534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,041.38 : 309,149.87 = 127,209.93 : x
  2. Step 2: Convert to fraction form
    224,041.38/309,149.87 = 127,209.93/x
  3. Step 3: Cross multiply
    224,041.38x = 309,149.87 × 127,209.93
  4. Step 4: Simplify right side
    224,041.38x = 39,326,932,686.16
  5. Step 5: Solve for x
    x = 39,326,932,686.16/224,041.38
  6. Step 6: Final answer
    x = 175,534.24

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1.5x scale

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.