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Finding the Fourth Proportional to 235,712.16, 353,507.04 and 85,926.24

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Solution

The fourth proportional to 235,712.16, 353,507.04 and 85,926.24 is: 128,867.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,712.16 : 353,507.04 = 85,926.24 : x
  2. Step 2: Convert to fraction form
    235,712.16/353,507.04 = 85,926.24/x
  3. Step 3: Cross multiply
    235,712.16x = 353,507.04 × 85,926.24
  4. Step 4: Simplify right side
    235,712.16x = 30,375,530,760.73
  5. Step 5: Solve for x
    x = 30,375,530,760.73/235,712.16
  6. Step 6: Final answer
    x = 128,867.05

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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.