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Finding the Fourth Proportional to 201,275.86, 302,049.56 and 82,944.58

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Solution

The fourth proportional to 201,275.86, 302,049.56 and 82,944.58 is: 124,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,275.86 : 302,049.56 = 82,944.58 : x
  2. Step 2: Convert to fraction form
    201,275.86/302,049.56 = 82,944.58/x
  3. Step 3: Cross multiply
    201,275.86x = 302,049.56 × 82,944.58
  4. Step 4: Simplify right side
    201,275.86x = 25,053,373,893.38
  5. Step 5: Solve for x
    x = 25,053,373,893.38/201,275.86
  6. Step 6: Final answer
    x = 124,472.82

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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.