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Finding the Fourth Proportional to 159,856.80, 239,785.20 and 97,648.80

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Solution

The fourth proportional to 159,856.80, 239,785.20 and 97,648.80 is: 146,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,856.80 : 239,785.20 = 97,648.80 : x
  2. Step 2: Convert to fraction form
    159,856.80/239,785.20 = 97,648.80/x
  3. Step 3: Cross multiply
    159,856.80x = 239,785.20 × 97,648.80
  4. Step 4: Simplify right side
    159,856.80x = 23,414,737,037.76
  5. Step 5: Solve for x
    x = 23,414,737,037.76/159,856.80
  6. Step 6: Final answer
    x = 146,473.20

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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.