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Finding the Fourth Proportional to 131,114.50, 180,938.02 and 71,498.50

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Solution

The fourth proportional to 131,114.50, 180,938.02 and 71,498.50 is: 98,667.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,114.50 : 180,938.02 = 71,498.50 : x
  2. Step 2: Convert to fraction form
    131,114.50/180,938.02 = 71,498.50/x
  3. Step 3: Cross multiply
    131,114.50x = 180,938.02 × 71,498.50
  4. Step 4: Simplify right side
    131,114.50x = 12,936,797,022.97
  5. Step 5: Solve for x
    x = 12,936,797,022.97/131,114.50
  6. Step 6: Final answer
    x = 98,667.94

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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.