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Finding the Fourth Proportional to 179,443.80, 268,820.76 and 100,318.08

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Solution

The fourth proportional to 179,443.80, 268,820.76 and 100,318.08 is: 150,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,443.80 : 268,820.76 = 100,318.08 : x
  2. Step 2: Convert to fraction form
    179,443.80/268,820.76 = 100,318.08/x
  3. Step 3: Cross multiply
    179,443.80x = 268,820.76 × 100,318.08
  4. Step 4: Simplify right side
    179,443.80x = 26,967,582,507.34
  5. Step 5: Solve for x
    x = 26,967,582,507.34/179,443.80
  6. Step 6: Final answer
    x = 150,284.28

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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.