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Finding the Fourth Proportional to 91,187, 136,500.22 and 77,734.89

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Solution

The fourth proportional to 91,187, 136,500.22 and 77,734.89 is: 116,363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,187 : 136,500.22 = 77,734.89 : x
  2. Step 2: Convert to fraction form
    91,187/136,500.22 = 77,734.89/x
  3. Step 3: Cross multiply
    91,187x = 136,500.22 × 77,734.89
  4. Step 4: Simplify right side
    91,187x = 10,610,829,586.68
  5. Step 5: Solve for x
    x = 10,610,829,586.68/91,187
  6. Step 6: Final answer
    x = 116,363.40

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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.