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Finding the Fourth Proportional to 130,686.26, 180,319.26 and 76,951.66

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Solution

The fourth proportional to 130,686.26, 180,319.26 and 76,951.66 is: 106,176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,686.26 : 180,319.26 = 76,951.66 : x
  2. Step 2: Convert to fraction form
    130,686.26/180,319.26 = 76,951.66/x
  3. Step 3: Cross multiply
    130,686.26x = 180,319.26 × 76,951.66
  4. Step 4: Simplify right side
    130,686.26x = 13,875,866,386.97
  5. Step 5: Solve for x
    x = 13,875,866,386.97/130,686.26
  6. Step 6: Final answer
    x = 106,176.93

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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.