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Finding the Fourth Proportional to 130,497.90, 180,078.48 and 76,772.49

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Solution

The fourth proportional to 130,497.90, 180,078.48 and 76,772.49 is: 105,940.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,497.90 : 180,078.48 = 76,772.49 : x
  2. Step 2: Convert to fraction form
    130,497.90/180,078.48 = 76,772.49/x
  3. Step 3: Cross multiply
    130,497.90x = 180,078.48 × 76,772.49
  4. Step 4: Simplify right side
    130,497.90x = 13,825,073,305.02
  5. Step 5: Solve for x
    x = 13,825,073,305.02/130,497.90
  6. Step 6: Final answer
    x = 105,940.96

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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.