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Finding the Fourth Proportional to 178,197.83, 245,921.10 and 101,737.61

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Solution

The fourth proportional to 178,197.83, 245,921.10 and 101,737.61 is: 140,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,197.83 : 245,921.10 = 101,737.61 : x
  2. Step 2: Convert to fraction form
    178,197.83/245,921.10 = 101,737.61/x
  3. Step 3: Cross multiply
    178,197.83x = 245,921.10 × 101,737.61
  4. Step 4: Simplify right side
    178,197.83x = 25,019,424,962.57
  5. Step 5: Solve for x
    x = 25,019,424,962.57/178,197.83
  6. Step 6: Final answer
    x = 140,402.52

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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.