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Finding the Fourth Proportional to 142,115.40, 196,132.65 and 81,721.41

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Solution

The fourth proportional to 142,115.40, 196,132.65 and 81,721.41 is: 112,783.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,115.40 : 196,132.65 = 81,721.41 : x
  2. Step 2: Convert to fraction form
    142,115.40/196,132.65 = 81,721.41/x
  3. Step 3: Cross multiply
    142,115.40x = 196,132.65 × 81,721.41
  4. Step 4: Simplify right side
    142,115.40x = 16,028,236,705.04
  5. Step 5: Solve for x
    x = 16,028,236,705.04/142,115.40
  6. Step 6: Final answer
    x = 112,783.25

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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.