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Finding the Fourth Proportional to 235,871.79, 353,512.34 and 185,753.96

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Solution

The fourth proportional to 235,871.79, 353,512.34 and 185,753.96 is: 278,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,871.79 : 353,512.34 = 185,753.96 : x
  2. Step 2: Convert to fraction form
    235,871.79/353,512.34 = 185,753.96/x
  3. Step 3: Cross multiply
    235,871.79x = 353,512.34 × 185,753.96
  4. Step 4: Simplify right side
    235,871.79x = 65,666,314,367.53
  5. Step 5: Solve for x
    x = 65,666,314,367.53/235,871.79
  6. Step 6: Final answer
    x = 278,398.34

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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.