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Finding the Fourth Proportional to 110,392.80, 152,357.04 and 65,676

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Solution

The fourth proportional to 110,392.80, 152,357.04 and 65,676 is: 90,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,392.80 : 152,357.04 = 65,676 : x
  2. Step 2: Convert to fraction form
    110,392.80/152,357.04 = 65,676/x
  3. Step 3: Cross multiply
    110,392.80x = 152,357.04 × 65,676
  4. Step 4: Simplify right side
    110,392.80x = 10,006,200,959.04
  5. Step 5: Solve for x
    x = 10,006,200,959.04/110,392.80
  6. Step 6: Final answer
    x = 90,641.79

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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.