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Finding the Fourth Proportional to 132,500.80, 198,603.24 and 57,683.80

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Solution

The fourth proportional to 132,500.80, 198,603.24 and 57,683.80 is: 86,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,500.80 : 198,603.24 = 57,683.80 : x
  2. Step 2: Convert to fraction form
    132,500.80/198,603.24 = 57,683.80/x
  3. Step 3: Cross multiply
    132,500.80x = 198,603.24 × 57,683.80
  4. Step 4: Simplify right side
    132,500.80x = 11,456,189,575.51
  5. Step 5: Solve for x
    x = 11,456,189,575.51/132,500.80
  6. Step 6: Final answer
    x = 86,461.29

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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.