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Finding the Fourth Proportional to 224,006.32, 309,129.24 and 123,404.32

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Solution

The fourth proportional to 224,006.32, 309,129.24 and 123,404.32 is: 170,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,006.32 : 309,129.24 = 123,404.32 : x
  2. Step 2: Convert to fraction form
    224,006.32/309,129.24 = 123,404.32/x
  3. Step 3: Cross multiply
    224,006.32x = 309,129.24 × 123,404.32
  4. Step 4: Simplify right side
    224,006.32x = 38,147,883,654.32
  5. Step 5: Solve for x
    x = 38,147,883,654.32/224,006.32
  6. Step 6: Final answer
    x = 170,298.25

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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.