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Finding the Fourth Proportional to 152,033.72, 209,824.78 and 88,371.52

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Solution

The fourth proportional to 152,033.72, 209,824.78 and 88,371.52 is: 121,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,033.72 : 209,824.78 = 88,371.52 : x
  2. Step 2: Convert to fraction form
    152,033.72/209,824.78 = 88,371.52/x
  3. Step 3: Cross multiply
    152,033.72x = 209,824.78 × 88,371.52
  4. Step 4: Simplify right side
    152,033.72x = 18,542,534,742.27
  5. Step 5: Solve for x
    x = 18,542,534,742.27/152,033.72
  6. Step 6: Final answer
    x = 121,963.30

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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.