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Finding the Fourth Proportional to 132,834.80, 199,252.20 and 77,538.80

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Solution

The fourth proportional to 132,834.80, 199,252.20 and 77,538.80 is: 116,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,834.80 : 199,252.20 = 77,538.80 : x
  2. Step 2: Convert to fraction form
    132,834.80/199,252.20 = 77,538.80/x
  3. Step 3: Cross multiply
    132,834.80x = 199,252.20 × 77,538.80
  4. Step 4: Simplify right side
    132,834.80x = 15,449,776,485.36
  5. Step 5: Solve for x
    x = 15,449,776,485.36/132,834.80
  6. Step 6: Final answer
    x = 116,308.20

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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.