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Finding the Fourth Proportional to 233,269.39, 349,959.62 and 75,497.85

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Solution

The fourth proportional to 233,269.39, 349,959.62 and 75,497.85 is: 113,264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,269.39 : 349,959.62 = 75,497.85 : x
  2. Step 2: Convert to fraction form
    233,269.39/349,959.62 = 75,497.85/x
  3. Step 3: Cross multiply
    233,269.39x = 349,959.62 × 75,497.85
  4. Step 4: Simplify right side
    233,269.39x = 26,421,198,896.82
  5. Step 5: Solve for x
    x = 26,421,198,896.82/233,269.39
  6. Step 6: Final answer
    x = 113,264.75

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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.