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Finding the Fourth Proportional to 169,414.90, 233,753.36 and 101,406.04

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Solution

The fourth proportional to 169,414.90, 233,753.36 and 101,406.04 is: 139,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,414.90 : 233,753.36 = 101,406.04 : x
  2. Step 2: Convert to fraction form
    169,414.90/233,753.36 = 101,406.04/x
  3. Step 3: Cross multiply
    169,414.90x = 233,753.36 × 101,406.04
  4. Step 4: Simplify right side
    169,414.90x = 23,704,001,482.88
  5. Step 5: Solve for x
    x = 23,704,001,482.88/169,414.90
  6. Step 6: Final answer
    x = 139,916.87

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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.