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Finding the Fourth Proportional to 299,828.02, 449,675.80 and 86,549.58

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Solution

The fourth proportional to 299,828.02, 449,675.80 and 86,549.58 is: 129,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,828.02 : 449,675.80 = 86,549.58 : x
  2. Step 2: Convert to fraction form
    299,828.02/449,675.80 = 86,549.58/x
  3. Step 3: Cross multiply
    299,828.02x = 449,675.80 × 86,549.58
  4. Step 4: Simplify right side
    299,828.02x = 38,919,251,896.63
  5. Step 5: Solve for x
    x = 38,919,251,896.63/299,828.02
  6. Step 6: Final answer
    x = 129,805.25

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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.