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Finding the Fourth Proportional to 185,692.71, 256,257 and 109,215.02

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Solution

The fourth proportional to 185,692.71, 256,257 and 109,215.02 is: 150,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,692.71 : 256,257 = 109,215.02 : x
  2. Step 2: Convert to fraction form
    185,692.71/256,257 = 109,215.02/x
  3. Step 3: Cross multiply
    185,692.71x = 256,257 × 109,215.02
  4. Step 4: Simplify right side
    185,692.71x = 27,987,113,380.14
  5. Step 5: Solve for x
    x = 27,987,113,380.14/185,692.71
  6. Step 6: Final answer
    x = 150,717.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.