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Finding the Fourth Proportional to 84,895.20, 127,342.80 and 65,212.20

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Solution

The fourth proportional to 84,895.20, 127,342.80 and 65,212.20 is: 97,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,895.20 : 127,342.80 = 65,212.20 : x
  2. Step 2: Convert to fraction form
    84,895.20/127,342.80 = 65,212.20/x
  3. Step 3: Cross multiply
    84,895.20x = 127,342.80 × 65,212.20
  4. Step 4: Simplify right side
    84,895.20x = 8,304,304,142.16
  5. Step 5: Solve for x
    x = 8,304,304,142.16/84,895.20
  6. Step 6: Final answer
    x = 97,818.30

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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.