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Finding the Fourth Proportional to 132,377.40, 198,566.10 and 106,133.40

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Solution

The fourth proportional to 132,377.40, 198,566.10 and 106,133.40 is: 159,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,377.40 : 198,566.10 = 106,133.40 : x
  2. Step 2: Convert to fraction form
    132,377.40/198,566.10 = 106,133.40/x
  3. Step 3: Cross multiply
    132,377.40x = 198,566.10 × 106,133.40
  4. Step 4: Simplify right side
    132,377.40x = 21,074,495,317.74
  5. Step 5: Solve for x
    x = 21,074,495,317.74/132,377.40
  6. Step 6: Final answer
    x = 159,200.10

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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.