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Finding the Fourth Proportional to 159,658.70, 239,506.58 and 53,052.17

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Solution

The fourth proportional to 159,658.70, 239,506.58 and 53,052.17 is: 79,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,658.70 : 239,506.58 = 53,052.17 : x
  2. Step 2: Convert to fraction form
    159,658.70/239,506.58 = 53,052.17/x
  3. Step 3: Cross multiply
    159,658.70x = 239,506.58 × 53,052.17
  4. Step 4: Simplify right side
    159,658.70x = 12,706,342,934.25
  5. Step 5: Solve for x
    x = 12,706,342,934.25/159,658.70
  6. Step 6: Final answer
    x = 79,584.41

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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.