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Finding the Fourth Proportional to 132,635.90, 198,886.26 and 65,172.42

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Solution

The fourth proportional to 132,635.90, 198,886.26 and 65,172.42 is: 97,725.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,635.90 : 198,886.26 = 65,172.42 : x
  2. Step 2: Convert to fraction form
    132,635.90/198,886.26 = 65,172.42/x
  3. Step 3: Cross multiply
    132,635.90x = 198,886.26 × 65,172.42
  4. Step 4: Simplify right side
    132,635.90x = 12,961,898,868.95
  5. Step 5: Solve for x
    x = 12,961,898,868.95/132,635.90
  6. Step 6: Final answer
    x = 97,725.42

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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.