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Finding the Fourth Proportional to 159,614.71, 239,369.97 and 52,970.02

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Solution

The fourth proportional to 159,614.71, 239,369.97 and 52,970.02 is: 79,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,614.71 : 239,369.97 = 52,970.02 : x
  2. Step 2: Convert to fraction form
    159,614.71/239,369.97 = 52,970.02/x
  3. Step 3: Cross multiply
    159,614.71x = 239,369.97 × 52,970.02
  4. Step 4: Simplify right side
    159,614.71x = 12,679,432,098.30
  5. Step 5: Solve for x
    x = 12,679,432,098.30/159,614.71
  6. Step 6: Final answer
    x = 79,437.74

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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.