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Finding the Fourth Proportional to 159,188.32, 219,678.66 and 87,566.78

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Solution

The fourth proportional to 159,188.32, 219,678.66 and 87,566.78 is: 120,841.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,188.32 : 219,678.66 = 87,566.78 : x
  2. Step 2: Convert to fraction form
    159,188.32/219,678.66 = 87,566.78/x
  3. Step 3: Cross multiply
    159,188.32x = 219,678.66 × 87,566.78
  4. Step 4: Simplify right side
    159,188.32x = 19,236,552,890.91
  5. Step 5: Solve for x
    x = 19,236,552,890.91/159,188.32
  6. Step 6: Final answer
    x = 120,841.48

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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.