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Finding the Fourth Proportional to 224,304.47, 309,540.17 and 123,702.47

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Solution

The fourth proportional to 224,304.47, 309,540.17 and 123,702.47 is: 170,709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,304.47 : 309,540.17 = 123,702.47 : x
  2. Step 2: Convert to fraction form
    224,304.47/309,540.17 = 123,702.47/x
  3. Step 3: Cross multiply
    224,304.47x = 309,540.17 × 123,702.47
  4. Step 4: Simplify right side
    224,304.47x = 38,290,883,515.55
  5. Step 5: Solve for x
    x = 38,290,883,515.55/224,304.47
  6. Step 6: Final answer
    x = 170,709.41

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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.