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Finding the Fourth Proportional to 224,003.60, 309,124.82 and 123,401.60

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Solution

The fourth proportional to 224,003.60, 309,124.82 and 123,401.60 is: 170,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,003.60 : 309,124.82 = 123,401.60 : x
  2. Step 2: Convert to fraction form
    224,003.60/309,124.82 = 123,401.60/x
  3. Step 3: Cross multiply
    224,003.60x = 309,124.82 × 123,401.60
  4. Step 4: Simplify right side
    224,003.60x = 38,146,497,387.71
  5. Step 5: Solve for x
    x = 38,146,497,387.71/224,003.60
  6. Step 6: Final answer
    x = 170,294.13

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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.