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Finding the Fourth Proportional to 159,369.90, 219,931.12 and 95,708.76

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Solution

The fourth proportional to 159,369.90, 219,931.12 and 95,708.76 is: 132,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,369.90 : 219,931.12 = 95,708.76 : x
  2. Step 2: Convert to fraction form
    159,369.90/219,931.12 = 95,708.76/x
  3. Step 3: Cross multiply
    159,369.90x = 219,931.12 × 95,708.76
  4. Step 4: Simplify right side
    159,369.90x = 21,049,334,780.61
  5. Step 5: Solve for x
    x = 21,049,334,780.61/159,369.90
  6. Step 6: Final answer
    x = 132,078.48

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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.