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Finding the Fourth Proportional to 153,601, 230,414.70 and 42,793

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Solution

The fourth proportional to 153,601, 230,414.70 and 42,793 is: 64,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,601 : 230,414.70 = 42,793 : x
  2. Step 2: Convert to fraction form
    153,601/230,414.70 = 42,793/x
  3. Step 3: Cross multiply
    153,601x = 230,414.70 × 42,793
  4. Step 4: Simplify right side
    153,601x = 9,860,136,257.10
  5. Step 5: Solve for x
    x = 9,860,136,257.10/153,601
  6. Step 6: Final answer
    x = 64,193.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.