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Finding the Fourth Proportional to 88,535.40, 132,803.10 and 77,821.80

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Solution

The fourth proportional to 88,535.40, 132,803.10 and 77,821.80 is: 116,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,535.40 : 132,803.10 = 77,821.80 : x
  2. Step 2: Convert to fraction form
    88,535.40/132,803.10 = 77,821.80/x
  3. Step 3: Cross multiply
    88,535.40x = 132,803.10 × 77,821.80
  4. Step 4: Simplify right side
    88,535.40x = 10,334,976,287.58
  5. Step 5: Solve for x
    x = 10,334,976,287.58/88,535.40
  6. Step 6: Final answer
    x = 116,732.70

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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.