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Finding the Fourth Proportional to 85,408.80, 127,918.80 and 83,464.80

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Solution

The fourth proportional to 85,408.80, 127,918.80 and 83,464.80 is: 125,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,408.80 : 127,918.80 = 83,464.80 : x
  2. Step 2: Convert to fraction form
    85,408.80/127,918.80 = 83,464.80/x
  3. Step 3: Cross multiply
    85,408.80x = 127,918.80 × 83,464.80
  4. Step 4: Simplify right side
    85,408.80x = 10,676,717,058.24
  5. Step 5: Solve for x
    x = 10,676,717,058.24/85,408.80
  6. Step 6: Final answer
    x = 125,007.22

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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.