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Finding the Fourth Proportional to 233,299.52, 349,676.12 and 89,110.80

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Solution

The fourth proportional to 233,299.52, 349,676.12 and 89,110.80 is: 133,561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,299.52 : 349,676.12 = 89,110.80 : x
  2. Step 2: Convert to fraction form
    233,299.52/349,676.12 = 89,110.80/x
  3. Step 3: Cross multiply
    233,299.52x = 349,676.12 × 89,110.80
  4. Step 4: Simplify right side
    233,299.52x = 31,159,918,794.10
  5. Step 5: Solve for x
    x = 31,159,918,794.10/233,299.52
  6. Step 6: Final answer
    x = 133,561.86

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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.