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Finding the Fourth Proportional to 109,952.30, 164,928.45 and 82,304.30

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Solution

The fourth proportional to 109,952.30, 164,928.45 and 82,304.30 is: 123,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,952.30 : 164,928.45 = 82,304.30 : x
  2. Step 2: Convert to fraction form
    109,952.30/164,928.45 = 82,304.30/x
  3. Step 3: Cross multiply
    109,952.30x = 164,928.45 × 82,304.30
  4. Step 4: Simplify right side
    109,952.30x = 13,574,320,627.34
  5. Step 5: Solve for x
    x = 13,574,320,627.34/109,952.30
  6. Step 6: Final answer
    x = 123,456.45

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1.5x scale

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.