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Finding the Fourth Proportional to 132,567.80, 198,717.30 and 65,905.40

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Solution

The fourth proportional to 132,567.80, 198,717.30 and 65,905.40 is: 98,791.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,567.80 : 198,717.30 = 65,905.40 : x
  2. Step 2: Convert to fraction form
    132,567.80/198,717.30 = 65,905.40/x
  3. Step 3: Cross multiply
    132,567.80x = 198,717.30 × 65,905.40
  4. Step 4: Simplify right side
    132,567.80x = 13,096,543,143.42
  5. Step 5: Solve for x
    x = 13,096,543,143.42/132,567.80
  6. Step 6: Final answer
    x = 98,791.28

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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.