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Finding the Fourth Proportional to 130,474.88, 180,055.68 and 76,761.92

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Solution

The fourth proportional to 130,474.88, 180,055.68 and 76,761.92 is: 105,931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,474.88 : 180,055.68 = 76,761.92 : x
  2. Step 2: Convert to fraction form
    130,474.88/180,055.68 = 76,761.92/x
  3. Step 3: Cross multiply
    130,474.88x = 180,055.68 × 76,761.92
  4. Step 4: Simplify right side
    130,474.88x = 13,821,419,703.71
  5. Step 5: Solve for x
    x = 13,821,419,703.71/130,474.88
  6. Step 6: Final answer
    x = 105,931.65

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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.