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Finding the Fourth Proportional to 132,585.87, 198,878.82 and 109,163.10

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Solution

The fourth proportional to 132,585.87, 198,878.82 and 109,163.10 is: 163,744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,585.87 : 198,878.82 = 109,163.10 : x
  2. Step 2: Convert to fraction form
    132,585.87/198,878.82 = 109,163.10/x
  3. Step 3: Cross multiply
    132,585.87x = 198,878.82 × 109,163.10
  4. Step 4: Simplify right side
    132,585.87x = 21,710,228,851.98
  5. Step 5: Solve for x
    x = 21,710,228,851.98/132,585.87
  6. Step 6: Final answer
    x = 163,744.66

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1.5x scale

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.