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Finding the Fourth Proportional to 160,065.29, 220,890.68 and 87,468.18

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Solution

The fourth proportional to 160,065.29, 220,890.68 and 87,468.18 is: 120,706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,065.29 : 220,890.68 = 87,468.18 : x
  2. Step 2: Convert to fraction form
    160,065.29/220,890.68 = 87,468.18/x
  3. Step 3: Cross multiply
    160,065.29x = 220,890.68 × 87,468.18
  4. Step 4: Simplify right side
    160,065.29x = 19,320,905,758.56
  5. Step 5: Solve for x
    x = 19,320,905,758.56/160,065.29
  6. Step 6: Final answer
    x = 120,706.41

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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.