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Finding the Fourth Proportional to 132,897.29, 199,345.94 and 91,217.93

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Solution

The fourth proportional to 132,897.29, 199,345.94 and 91,217.93 is: 136,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,897.29 : 199,345.94 = 91,217.93 : x
  2. Step 2: Convert to fraction form
    132,897.29/199,345.94 = 91,217.93/x
  3. Step 3: Cross multiply
    132,897.29x = 199,345.94 × 91,217.93
  4. Step 4: Simplify right side
    132,897.29x = 18,183,924,000.70
  5. Step 5: Solve for x
    x = 18,183,924,000.70/132,897.29
  6. Step 6: Final answer
    x = 136,826.90

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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.