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Finding the Fourth Proportional to 149,301.95, 206,036.69 and 82,233.95

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Solution

The fourth proportional to 149,301.95, 206,036.69 and 82,233.95 is: 113,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,301.95 : 206,036.69 = 82,233.95 : x
  2. Step 2: Convert to fraction form
    149,301.95/206,036.69 = 82,233.95/x
  3. Step 3: Cross multiply
    149,301.95x = 206,036.69 × 82,233.95
  4. Step 4: Simplify right side
    149,301.95x = 16,943,209,422.27
  5. Step 5: Solve for x
    x = 16,943,209,422.27/149,301.95
  6. Step 6: Final answer
    x = 113,482.84

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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.