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Finding the Fourth Proportional to 235,731.58, 353,630.39 and 75,753.74

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Solution

The fourth proportional to 235,731.58, 353,630.39 and 75,753.74 is: 113,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,731.58 : 353,630.39 = 75,753.74 : x
  2. Step 2: Convert to fraction form
    235,731.58/353,630.39 = 75,753.74/x
  3. Step 3: Cross multiply
    235,731.58x = 353,630.39 × 75,753.74
  4. Step 4: Simplify right side
    235,731.58x = 26,788,825,125.47
  5. Step 5: Solve for x
    x = 26,788,825,125.47/235,731.58
  6. Step 6: Final answer
    x = 113,641.22

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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.