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Finding the Fourth Proportional to 224,538.08, 309,915.66 and 129,100.28

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Solution

The fourth proportional to 224,538.08, 309,915.66 and 129,100.28 is: 178,188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,538.08 : 309,915.66 = 129,100.28 : x
  2. Step 2: Convert to fraction form
    224,538.08/309,915.66 = 129,100.28/x
  3. Step 3: Cross multiply
    224,538.08x = 309,915.66 × 129,100.28
  4. Step 4: Simplify right side
    224,538.08x = 40,010,198,482.38
  5. Step 5: Solve for x
    x = 40,010,198,482.38/224,538.08
  6. Step 6: Final answer
    x = 178,188.92

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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.