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Finding the Fourth Proportional to 85,282.40, 127,923.60 and 54,178.40

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Solution

The fourth proportional to 85,282.40, 127,923.60 and 54,178.40 is: 81,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,282.40 : 127,923.60 = 54,178.40 : x
  2. Step 2: Convert to fraction form
    85,282.40/127,923.60 = 54,178.40/x
  3. Step 3: Cross multiply
    85,282.40x = 127,923.60 × 54,178.40
  4. Step 4: Simplify right side
    85,282.40x = 6,930,695,970.24
  5. Step 5: Solve for x
    x = 6,930,695,970.24/85,282.40
  6. Step 6: Final answer
    x = 81,267.60

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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.