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Finding the Fourth Proportional to 224,314.14, 309,544.97 and 123,712.14

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Solution

The fourth proportional to 224,314.14, 309,544.97 and 123,712.14 is: 170,718.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,314.14 : 309,544.97 = 123,712.14 : x
  2. Step 2: Convert to fraction form
    224,314.14/309,544.97 = 123,712.14/x
  3. Step 3: Cross multiply
    224,314.14x = 309,544.97 × 123,712.14
  4. Step 4: Simplify right side
    224,314.14x = 38,294,470,046.38
  5. Step 5: Solve for x
    x = 38,294,470,046.38/224,314.14
  6. Step 6: Final answer
    x = 170,718.04

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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.