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Finding the Fourth Proportional to 233,302.28, 349,958.82 and 83,552.84

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Solution

The fourth proportional to 233,302.28, 349,958.82 and 83,552.84 is: 125,331.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,302.28 : 349,958.82 = 83,552.84 : x
  2. Step 2: Convert to fraction form
    233,302.28/349,958.82 = 83,552.84/x
  3. Step 3: Cross multiply
    233,302.28x = 349,958.82 × 83,552.84
  4. Step 4: Simplify right side
    233,302.28x = 29,240,053,294.05
  5. Step 5: Solve for x
    x = 29,240,053,294.05/233,302.28
  6. Step 6: Final answer
    x = 125,331.19

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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.