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Finding the Fourth Proportional to 159,095.48, 219,545.86 and 87,471.24

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Solution

The fourth proportional to 159,095.48, 219,545.86 and 87,471.24 is: 120,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,095.48 : 219,545.86 = 87,471.24 : x
  2. Step 2: Convert to fraction form
    159,095.48/219,545.86 = 87,471.24/x
  3. Step 3: Cross multiply
    159,095.48x = 219,545.86 × 87,471.24
  4. Step 4: Simplify right side
    159,095.48x = 19,203,948,611.07
  5. Step 5: Solve for x
    x = 19,203,948,611.07/159,095.48
  6. Step 6: Final answer
    x = 120,707.07

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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.