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Finding the Fourth Proportional to 132,382.40, 198,573.60 and 87,281.60

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Solution

The fourth proportional to 132,382.40, 198,573.60 and 87,281.60 is: 130,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,382.40 : 198,573.60 = 87,281.60 : x
  2. Step 2: Convert to fraction form
    132,382.40/198,573.60 = 87,281.60/x
  3. Step 3: Cross multiply
    132,382.40x = 198,573.60 × 87,281.60
  4. Step 4: Simplify right side
    132,382.40x = 17,331,821,525.76
  5. Step 5: Solve for x
    x = 17,331,821,525.76/132,382.40
  6. Step 6: Final answer
    x = 130,922.40

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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.