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Finding the Fourth Proportional to 130,986.50, 180,761.38 and 71,370.50

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Solution

The fourth proportional to 130,986.50, 180,761.38 and 71,370.50 is: 98,491.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,986.50 : 180,761.38 = 71,370.50 : x
  2. Step 2: Convert to fraction form
    130,986.50/180,761.38 = 71,370.50/x
  3. Step 3: Cross multiply
    130,986.50x = 180,761.38 × 71,370.50
  4. Step 4: Simplify right side
    130,986.50x = 12,901,030,071.29
  5. Step 5: Solve for x
    x = 12,901,030,071.29/130,986.50
  6. Step 6: Final answer
    x = 98,491.30

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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.