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Finding the Fourth Proportional to 299,295, 449,016.48 and 88,932.06

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Solution

The fourth proportional to 299,295, 449,016.48 and 88,932.06 is: 133,420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,295 : 449,016.48 = 88,932.06 : x
  2. Step 2: Convert to fraction form
    299,295/449,016.48 = 88,932.06/x
  3. Step 3: Cross multiply
    299,295x = 449,016.48 × 88,932.06
  4. Step 4: Simplify right side
    299,295x = 39,931,960,540.35
  5. Step 5: Solve for x
    x = 39,931,960,540.35/299,295
  6. Step 6: Final answer
    x = 133,420.07

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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.