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Finding the Fourth Proportional to 324,724.74, 487,135.56 and 100,066.38

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Solution

The fourth proportional to 324,724.74, 487,135.56 and 100,066.38 is: 150,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,724.74 : 487,135.56 = 100,066.38 : x
  2. Step 2: Convert to fraction form
    324,724.74/487,135.56 = 100,066.38/x
  3. Step 3: Cross multiply
    324,724.74x = 487,135.56 × 100,066.38
  4. Step 4: Simplify right side
    324,724.74x = 48,745,892,058.47
  5. Step 5: Solve for x
    x = 48,745,892,058.47/324,724.74
  6. Step 6: Final answer
    x = 150,114.50

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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.