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Finding the Fourth Proportional to 360,842.56, 541,315.68 and 111,544

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Solution

The fourth proportional to 360,842.56, 541,315.68 and 111,544 is: 167,332.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,842.56 : 541,315.68 = 111,544 : x
  2. Step 2: Convert to fraction form
    360,842.56/541,315.68 = 111,544/x
  3. Step 3: Cross multiply
    360,842.56x = 541,315.68 × 111,544
  4. Step 4: Simplify right side
    360,842.56x = 60,380,516,209.92
  5. Step 5: Solve for x
    x = 60,380,516,209.92/360,842.56
  6. Step 6: Final answer
    x = 167,332.02

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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.