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Finding the Fourth Proportional to 132,834.60, 199,251.90 and 97,842.60

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Solution

The fourth proportional to 132,834.60, 199,251.90 and 97,842.60 is: 146,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,834.60 : 199,251.90 = 97,842.60 : x
  2. Step 2: Convert to fraction form
    132,834.60/199,251.90 = 97,842.60/x
  3. Step 3: Cross multiply
    132,834.60x = 199,251.90 × 97,842.60
  4. Step 4: Simplify right side
    132,834.60x = 19,495,323,950.94
  5. Step 5: Solve for x
    x = 19,495,323,950.94/132,834.60
  6. Step 6: Final answer
    x = 146,763.90

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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.