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Finding the Fourth Proportional to 130,633.50, 180,275.67 and 71,017.50

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Solution

The fourth proportional to 130,633.50, 180,275.67 and 71,017.50 is: 98,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,633.50 : 180,275.67 = 71,017.50 : x
  2. Step 2: Convert to fraction form
    130,633.50/180,275.67 = 71,017.50/x
  3. Step 3: Cross multiply
    130,633.50x = 180,275.67 × 71,017.50
  4. Step 4: Simplify right side
    130,633.50x = 12,802,727,394.23
  5. Step 5: Solve for x
    x = 12,802,727,394.23/130,633.50
  6. Step 6: Final answer
    x = 98,004.93

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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.