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Finding the Fourth Proportional to 154,309.59, 212,942.34 and 86,327.75

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Solution

The fourth proportional to 154,309.59, 212,942.34 and 86,327.75 is: 119,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,309.59 : 212,942.34 = 86,327.75 : x
  2. Step 2: Convert to fraction form
    154,309.59/212,942.34 = 86,327.75/x
  3. Step 3: Cross multiply
    154,309.59x = 212,942.34 × 86,327.75
  4. Step 4: Simplify right side
    154,309.59x = 18,382,833,624.29
  5. Step 5: Solve for x
    x = 18,382,833,624.29/154,309.59
  6. Step 6: Final answer
    x = 119,129.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.