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Finding the Fourth Proportional to 132,585.24, 198,611.80 and 65,823.44

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Solution

The fourth proportional to 132,585.24, 198,611.80 and 65,823.44 is: 98,603.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,585.24 : 198,611.80 = 65,823.44 : x
  2. Step 2: Convert to fraction form
    132,585.24/198,611.80 = 65,823.44/x
  3. Step 3: Cross multiply
    132,585.24x = 198,611.80 × 65,823.44
  4. Step 4: Simplify right side
    132,585.24x = 13,073,311,900.59
  5. Step 5: Solve for x
    x = 13,073,311,900.59/132,585.24
  6. Step 6: Final answer
    x = 98,603.07

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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.