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Finding the Fourth Proportional to 235,833.92, 353,701.27 and 75,924.15

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Solution

The fourth proportional to 235,833.92, 353,701.27 and 75,924.15 is: 113,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,833.92 : 353,701.27 = 75,924.15 : x
  2. Step 2: Convert to fraction form
    235,833.92/353,701.27 = 75,924.15/x
  3. Step 3: Cross multiply
    235,833.92x = 353,701.27 × 75,924.15
  4. Step 4: Simplify right side
    235,833.92x = 26,854,468,088.86
  5. Step 5: Solve for x
    x = 26,854,468,088.86/235,833.92
  6. Step 6: Final answer
    x = 113,870.25

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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.