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Finding the Fourth Proportional to 120,797.80, 181,200.46 and 57,624.76

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Solution

The fourth proportional to 120,797.80, 181,200.46 and 57,624.76 is: 86,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,797.80 : 181,200.46 = 57,624.76 : x
  2. Step 2: Convert to fraction form
    120,797.80/181,200.46 = 57,624.76/x
  3. Step 3: Cross multiply
    120,797.80x = 181,200.46 × 57,624.76
  4. Step 4: Simplify right side
    120,797.80x = 10,441,633,019.39
  5. Step 5: Solve for x
    x = 10,441,633,019.39/120,797.80
  6. Step 6: Final answer
    x = 86,438.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.