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Finding the Fourth Proportional to 224,170.60, 309,355.14 and 123,568.60

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Solution

The fourth proportional to 224,170.60, 309,355.14 and 123,568.60 is: 170,524.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,170.60 : 309,355.14 = 123,568.60 : x
  2. Step 2: Convert to fraction form
    224,170.60/309,355.14 = 123,568.60/x
  3. Step 3: Cross multiply
    224,170.60x = 309,355.14 × 123,568.60
  4. Step 4: Simplify right side
    224,170.60x = 38,226,581,552.60
  5. Step 5: Solve for x
    x = 38,226,581,552.60/224,170.60
  6. Step 6: Final answer
    x = 170,524.51

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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.