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Finding the Fourth Proportional to 233,494.92, 350,291.66 and 75,711.08

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Solution

The fourth proportional to 233,494.92, 350,291.66 and 75,711.08 is: 113,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,494.92 : 350,291.66 = 75,711.08 : x
  2. Step 2: Convert to fraction form
    233,494.92/350,291.66 = 75,711.08/x
  3. Step 3: Cross multiply
    233,494.92x = 350,291.66 × 75,711.08
  4. Step 4: Simplify right side
    233,494.92x = 26,520,959,893.59
  5. Step 5: Solve for x
    x = 26,520,959,893.59/233,494.92
  6. Step 6: Final answer
    x = 113,582.60

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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.