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Finding the Fourth Proportional to 132,703.10, 198,568.65 and 97,711.10

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Solution

The fourth proportional to 132,703.10, 198,568.65 and 97,711.10 is: 146,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,703.10 : 198,568.65 = 97,711.10 : x
  2. Step 2: Convert to fraction form
    132,703.10/198,568.65 = 97,711.10/x
  3. Step 3: Cross multiply
    132,703.10x = 198,568.65 × 97,711.10
  4. Step 4: Simplify right side
    132,703.10x = 19,402,361,217.02
  5. Step 5: Solve for x
    x = 19,402,361,217.02/132,703.10
  6. Step 6: Final answer
    x = 146,208.80

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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.