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Finding the Fourth Proportional to 158,411.87, 237,615.75 and 38,469.80

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Solution

The fourth proportional to 158,411.87, 237,615.75 and 38,469.80 is: 57,704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,411.87 : 237,615.75 = 38,469.80 : x
  2. Step 2: Convert to fraction form
    158,411.87/237,615.75 = 38,469.80/x
  3. Step 3: Cross multiply
    158,411.87x = 237,615.75 × 38,469.80
  4. Step 4: Simplify right side
    158,411.87x = 9,141,031,081.59
  5. Step 5: Solve for x
    x = 9,141,031,081.59/158,411.87
  6. Step 6: Final answer
    x = 57,704.21

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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.