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Finding the Fourth Proportional to 97,722.80, 146,584.20 and 91,817.90

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Solution

The fourth proportional to 97,722.80, 146,584.20 and 91,817.90 is: 137,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,722.80 : 146,584.20 = 91,817.90 : x
  2. Step 2: Convert to fraction form
    97,722.80/146,584.20 = 91,817.90/x
  3. Step 3: Cross multiply
    97,722.80x = 146,584.20 × 91,817.90
  4. Step 4: Simplify right side
    97,722.80x = 13,459,053,417.18
  5. Step 5: Solve for x
    x = 13,459,053,417.18/97,722.80
  6. Step 6: Final answer
    x = 137,726.85

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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.