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Finding the Fourth Proportional to 233,279.87, 349,975.34 and 75,508.31

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Solution

The fourth proportional to 233,279.87, 349,975.34 and 75,508.31 is: 113,280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,279.87 : 349,975.34 = 75,508.31 : x
  2. Step 2: Convert to fraction form
    233,279.87/349,975.34 = 75,508.31/x
  3. Step 3: Cross multiply
    233,279.87x = 349,975.34 × 75,508.31
  4. Step 4: Simplify right side
    233,279.87x = 26,426,046,087.53
  5. Step 5: Solve for x
    x = 26,426,046,087.53/233,279.87
  6. Step 6: Final answer
    x = 113,280.44

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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.