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Finding the Fourth Proportional to 224,314.16, 309,544.94 and 123,712.16

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Solution

The fourth proportional to 224,314.16, 309,544.94 and 123,712.16 is: 170,718.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,314.16 : 309,544.94 = 123,712.16 : x
  2. Step 2: Convert to fraction form
    224,314.16/309,544.94 = 123,712.16/x
  3. Step 3: Cross multiply
    224,314.16x = 309,544.94 × 123,712.16
  4. Step 4: Simplify right side
    224,314.16x = 38,294,473,144.47
  5. Step 5: Solve for x
    x = 38,294,473,144.47/224,314.16
  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.