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Finding the Fourth Proportional to 130,471.41, 180,047.57 and 76,744.65

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Solution

The fourth proportional to 130,471.41, 180,047.57 and 76,744.65 is: 105,905.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,471.41 : 180,047.57 = 76,744.65 : x
  2. Step 2: Convert to fraction form
    130,471.41/180,047.57 = 76,744.65/x
  3. Step 3: Cross multiply
    130,471.41x = 180,047.57 × 76,744.65
  4. Step 4: Simplify right side
    130,471.41x = 13,817,687,359.28
  5. Step 5: Solve for x
    x = 13,817,687,359.28/130,471.41
  6. Step 6: Final answer
    x = 105,905.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.