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Finding the Fourth Proportional to 130,291.57, 195,471.06 and 76,301.84

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Solution

The fourth proportional to 130,291.57, 195,471.06 and 76,301.84 is: 114,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,291.57 : 195,471.06 = 76,301.84 : x
  2. Step 2: Convert to fraction form
    130,291.57/195,471.06 = 76,301.84/x
  3. Step 3: Cross multiply
    130,291.57x = 195,471.06 × 76,301.84
  4. Step 4: Simplify right side
    130,291.57x = 14,914,801,747.30
  5. Step 5: Solve for x
    x = 14,914,801,747.30/130,291.57
  6. Step 6: Final answer
    x = 114,472.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.