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Finding the Fourth Proportional to 142,283.52, 196,370.88 and 81,853.02

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Solution

The fourth proportional to 142,283.52, 196,370.88 and 81,853.02 is: 112,968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,283.52 : 196,370.88 = 81,853.02 : x
  2. Step 2: Convert to fraction form
    142,283.52/196,370.88 = 81,853.02/x
  3. Step 3: Cross multiply
    142,283.52x = 196,370.88 × 81,853.02
  4. Step 4: Simplify right side
    142,283.52x = 16,073,549,568.06
  5. Step 5: Solve for x
    x = 16,073,549,568.06/142,283.52
  6. Step 6: Final answer
    x = 112,968.46

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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.