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Finding the Fourth Proportional to 268,842.62, 402,982.58 and 100,295.12

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Solution

The fourth proportional to 268,842.62, 402,982.58 and 100,295.12 is: 150,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,842.62 : 402,982.58 = 100,295.12 : x
  2. Step 2: Convert to fraction form
    268,842.62/402,982.58 = 100,295.12/x
  3. Step 3: Cross multiply
    268,842.62x = 402,982.58 × 100,295.12
  4. Step 4: Simplify right side
    268,842.62x = 40,417,186,219.01
  5. Step 5: Solve for x
    x = 40,417,186,219.01/268,842.62
  6. Step 6: Final answer
    x = 150,337.72

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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.