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Finding the Fourth Proportional to 130,489.65, 180,162.45 and 100,220.90

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Solution

The fourth proportional to 130,489.65, 180,162.45 and 100,220.90 is: 138,371.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,489.65 : 180,162.45 = 100,220.90 : x
  2. Step 2: Convert to fraction form
    130,489.65/180,162.45 = 100,220.90/x
  3. Step 3: Cross multiply
    130,489.65x = 180,162.45 × 100,220.90
  4. Step 4: Simplify right side
    130,489.65x = 18,056,041,984.39
  5. Step 5: Solve for x
    x = 18,056,041,984.39/130,489.65
  6. Step 6: Final answer
    x = 138,371.45

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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.