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Finding the Fourth Proportional to 185,755.95, 256,338 and 105,191.10

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Solution

The fourth proportional to 185,755.95, 256,338 and 105,191.10 is: 145,160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,755.95 : 256,338 = 105,191.10 : x
  2. Step 2: Convert to fraction form
    185,755.95/256,338 = 105,191.10/x
  3. Step 3: Cross multiply
    185,755.95x = 256,338 × 105,191.10
  4. Step 4: Simplify right side
    185,755.95x = 26,964,476,191.80
  5. Step 5: Solve for x
    x = 26,964,476,191.80/185,755.95
  6. Step 6: Final answer
    x = 145,160.77

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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.