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Finding the Fourth Proportional to 142,010.40, 195,974.98 and 78,350.06

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Solution

The fourth proportional to 142,010.40, 195,974.98 and 78,350.06 is: 108,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,010.40 : 195,974.98 = 78,350.06 : x
  2. Step 2: Convert to fraction form
    142,010.40/195,974.98 = 78,350.06/x
  3. Step 3: Cross multiply
    142,010.40x = 195,974.98 × 78,350.06
  4. Step 4: Simplify right side
    142,010.40x = 15,354,651,441.50
  5. Step 5: Solve for x
    x = 15,354,651,441.50/142,010.40
  6. Step 6: Final answer
    x = 108,123.43

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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.