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Finding the Fourth Proportional to 154,710.75, 213,500.84 and 87,642.75

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Solution

The fourth proportional to 154,710.75, 213,500.84 and 87,642.75 is: 120,947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,710.75 : 213,500.84 = 87,642.75 : x
  2. Step 2: Convert to fraction form
    154,710.75/213,500.84 = 87,642.75/x
  3. Step 3: Cross multiply
    154,710.75x = 213,500.84 × 87,642.75
  4. Step 4: Simplify right side
    154,710.75x = 18,711,800,306.70
  5. Step 5: Solve for x
    x = 18,711,800,306.70/154,710.75
  6. Step 6: Final answer
    x = 120,947.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.