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Finding the Fourth Proportional to 132,675.20, 198,746.04 and 65,913.20

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Solution

The fourth proportional to 132,675.20, 198,746.04 and 65,913.20 is: 98,737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,675.20 : 198,746.04 = 65,913.20 : x
  2. Step 2: Convert to fraction form
    132,675.20/198,746.04 = 65,913.20/x
  3. Step 3: Cross multiply
    132,675.20x = 198,746.04 × 65,913.20
  4. Step 4: Simplify right side
    132,675.20x = 13,099,987,483.73
  5. Step 5: Solve for x
    x = 13,099,987,483.73/132,675.20
  6. Step 6: Final answer
    x = 98,737.27

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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.