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Finding the Fourth Proportional to 194,726.20, 292,098.90 and 101,414.20

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Solution

The fourth proportional to 194,726.20, 292,098.90 and 101,414.20 is: 152,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,726.20 : 292,098.90 = 101,414.20 : x
  2. Step 2: Convert to fraction form
    194,726.20/292,098.90 = 101,414.20/x
  3. Step 3: Cross multiply
    194,726.20x = 292,098.90 × 101,414.20
  4. Step 4: Simplify right side
    194,726.20x = 29,622,976,264.38
  5. Step 5: Solve for x
    x = 29,622,976,264.38/194,726.20
  6. Step 6: Final answer
    x = 152,126.30

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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.