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Finding the Fourth Proportional to 233,281.32, 349,835.94 and 83,481

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Solution

The fourth proportional to 233,281.32, 349,835.94 and 83,481 is: 125,190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,281.32 : 349,835.94 = 83,481 : x
  2. Step 2: Convert to fraction form
    233,281.32/349,835.94 = 83,481/x
  3. Step 3: Cross multiply
    233,281.32x = 349,835.94 × 83,481
  4. Step 4: Simplify right side
    233,281.32x = 29,204,654,107.14
  5. Step 5: Solve for x
    x = 29,204,654,107.14/233,281.32
  6. Step 6: Final answer
    x = 125,190.71

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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.