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Finding the Fourth Proportional to 141,871.49, 195,784.01 and 78,211.56

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Solution

The fourth proportional to 141,871.49, 195,784.01 and 78,211.56 is: 107,932.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,871.49 : 195,784.01 = 78,211.56 : x
  2. Step 2: Convert to fraction form
    141,871.49/195,784.01 = 78,211.56/x
  3. Step 3: Cross multiply
    141,871.49x = 195,784.01 × 78,211.56
  4. Step 4: Simplify right side
    141,871.49x = 15,312,572,454.10
  5. Step 5: Solve for x
    x = 15,312,572,454.10/141,871.49
  6. Step 6: Final answer
    x = 107,932.70

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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.