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Finding the Fourth Proportional to 142,737.70, 214,106.55 and 89,976.10

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Solution

The fourth proportional to 142,737.70, 214,106.55 and 89,976.10 is: 134,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,737.70 : 214,106.55 = 89,976.10 : x
  2. Step 2: Convert to fraction form
    142,737.70/214,106.55 = 89,976.10/x
  3. Step 3: Cross multiply
    142,737.70x = 214,106.55 × 89,976.10
  4. Step 4: Simplify right side
    142,737.70x = 19,264,472,353.46
  5. Step 5: Solve for x
    x = 19,264,472,353.46/142,737.70
  6. Step 6: Final answer
    x = 134,964.15

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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.