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Finding the Fourth Proportional to 159,615.42, 239,493.64 and 83,695.82

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Solution

The fourth proportional to 159,615.42, 239,493.64 and 83,695.82 is: 125,580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,615.42 : 239,493.64 = 83,695.82 : x
  2. Step 2: Convert to fraction form
    159,615.42/239,493.64 = 83,695.82/x
  3. Step 3: Cross multiply
    159,615.42x = 239,493.64 × 83,695.82
  4. Step 4: Simplify right side
    159,615.42x = 20,044,616,584.58
  5. Step 5: Solve for x
    x = 20,044,616,584.58/159,615.42
  6. Step 6: Final answer
    x = 125,580.70

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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.