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Finding the Fourth Proportional to 215,275.32, 322,914.60 and 75,034.08

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Solution

The fourth proportional to 215,275.32, 322,914.60 and 75,034.08 is: 112,551.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,275.32 : 322,914.60 = 75,034.08 : x
  2. Step 2: Convert to fraction form
    215,275.32/322,914.60 = 75,034.08/x
  3. Step 3: Cross multiply
    215,275.32x = 322,914.60 × 75,034.08
  4. Step 4: Simplify right side
    215,275.32x = 24,229,599,929.57
  5. Step 5: Solve for x
    x = 24,229,599,929.57/215,275.32
  6. Step 6: Final answer
    x = 112,551.68

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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.