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Finding the Fourth Proportional to 159,985.96, 220,710.90 and 96,287.56

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Solution

The fourth proportional to 159,985.96, 220,710.90 and 96,287.56 is: 132,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,985.96 : 220,710.90 = 96,287.56 : x
  2. Step 2: Convert to fraction form
    159,985.96/220,710.90 = 96,287.56/x
  3. Step 3: Cross multiply
    159,985.96x = 220,710.90 × 96,287.56
  4. Step 4: Simplify right side
    159,985.96x = 21,251,714,026.40
  5. Step 5: Solve for x
    x = 21,251,714,026.40/159,985.96
  6. Step 6: Final answer
    x = 132,834.87

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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.