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Finding the Fourth Proportional to 142,604.81, 196,805.56 and 81,352.35

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Solution

The fourth proportional to 142,604.81, 196,805.56 and 81,352.35 is: 112,272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,604.81 : 196,805.56 = 81,352.35 : x
  2. Step 2: Convert to fraction form
    142,604.81/196,805.56 = 81,352.35/x
  3. Step 3: Cross multiply
    142,604.81x = 196,805.56 × 81,352.35
  4. Step 4: Simplify right side
    142,604.81x = 16,010,594,207.03
  5. Step 5: Solve for x
    x = 16,010,594,207.03/142,604.81
  6. Step 6: Final answer
    x = 112,272.47

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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.