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Finding the Fourth Proportional to 159,196.92, 219,683.06 and 87,565.38

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Solution

The fourth proportional to 159,196.92, 219,683.06 and 87,565.38 is: 120,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,196.92 : 219,683.06 = 87,565.38 : x
  2. Step 2: Convert to fraction form
    159,196.92/219,683.06 = 87,565.38/x
  3. Step 3: Cross multiply
    159,196.92x = 219,683.06 × 87,565.38
  4. Step 4: Simplify right side
    159,196.92x = 19,236,630,628.46
  5. Step 5: Solve for x
    x = 19,236,630,628.46/159,196.92
  6. Step 6: Final answer
    x = 120,835.44

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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.