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Finding the Fourth Proportional to 100,464.76, 150,723.40 and 58,304.31

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Solution

The fourth proportional to 100,464.76, 150,723.40 and 58,304.31 is: 87,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,464.76 : 150,723.40 = 58,304.31 : x
  2. Step 2: Convert to fraction form
    100,464.76/150,723.40 = 58,304.31/x
  3. Step 3: Cross multiply
    100,464.76x = 150,723.40 × 58,304.31
  4. Step 4: Simplify right side
    100,464.76x = 8,787,823,837.85
  5. Step 5: Solve for x
    x = 8,787,823,837.85/100,464.76
  6. Step 6: Final answer
    x = 87,471.70

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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.