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Finding the Fourth Proportional to 265,885.92, 367,102.23 and 204,523.14

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Solution

The fourth proportional to 265,885.92, 367,102.23 and 204,523.14 is: 282,380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,885.92 : 367,102.23 = 204,523.14 : x
  2. Step 2: Convert to fraction form
    265,885.92/367,102.23 = 204,523.14/x
  3. Step 3: Cross multiply
    265,885.92x = 367,102.23 × 204,523.14
  4. Step 4: Simplify right side
    265,885.92x = 75,080,900,780.60
  5. Step 5: Solve for x
    x = 75,080,900,780.60/265,885.92
  6. Step 6: Final answer
    x = 282,380.13

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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.