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Finding the Fourth Proportional to 233,305.28, 349,963.32 and 83,555.84

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Solution

The fourth proportional to 233,305.28, 349,963.32 and 83,555.84 is: 125,335.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,305.28 : 349,963.32 = 83,555.84 : x
  2. Step 2: Convert to fraction form
    233,305.28/349,963.32 = 83,555.84/x
  3. Step 3: Cross multiply
    233,305.28x = 349,963.32 × 83,555.84
  4. Step 4: Simplify right side
    233,305.28x = 29,241,479,171.79
  5. Step 5: Solve for x
    x = 29,241,479,171.79/233,305.28
  6. Step 6: Final answer
    x = 125,335.69

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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.