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Finding the Fourth Proportional to 159,465.69, 239,115.51 and 59,543.73

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Solution

The fourth proportional to 159,465.69, 239,115.51 and 59,543.73 is: 89,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,465.69 : 239,115.51 = 59,543.73 : x
  2. Step 2: Convert to fraction form
    159,465.69/239,115.51 = 59,543.73/x
  3. Step 3: Cross multiply
    159,465.69x = 239,115.51 × 59,543.73
  4. Step 4: Simplify right side
    159,465.69x = 14,237,829,366.25
  5. Step 5: Solve for x
    x = 14,237,829,366.25/159,465.69
  6. Step 6: Final answer
    x = 89,284.59

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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.