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Finding the Fourth Proportional to 140,710.32, 194,210.42 and 89,711.33

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Solution

The fourth proportional to 140,710.32, 194,210.42 and 89,711.33 is: 123,820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,710.32 : 194,210.42 = 89,711.33 : x
  2. Step 2: Convert to fraction form
    140,710.32/194,210.42 = 89,711.33/x
  3. Step 3: Cross multiply
    140,710.32x = 194,210.42 × 89,711.33
  4. Step 4: Simplify right side
    140,710.32x = 17,422,873,658.45
  5. Step 5: Solve for x
    x = 17,422,873,658.45/140,710.32
  6. Step 6: Final answer
    x = 123,820.87

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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.