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Finding the Fourth Proportional to 130,472.88, 180,049.53 and 76,761.35

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Solution

The fourth proportional to 130,472.88, 180,049.53 and 76,761.35 is: 105,928.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,472.88 : 180,049.53 = 76,761.35 : x
  2. Step 2: Convert to fraction form
    130,472.88/180,049.53 = 76,761.35/x
  3. Step 3: Cross multiply
    130,472.88x = 180,049.53 × 76,761.35
  4. Step 4: Simplify right side
    130,472.88x = 13,820,845,417.56
  5. Step 5: Solve for x
    x = 13,820,845,417.56/130,472.88
  6. Step 6: Final answer
    x = 105,928.87

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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.