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Finding the Fourth Proportional to 201,715.53, 302,675.36 and 83,471.73

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Solution

The fourth proportional to 201,715.53, 302,675.36 and 83,471.73 is: 125,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,715.53 : 302,675.36 = 83,471.73 : x
  2. Step 2: Convert to fraction form
    201,715.53/302,675.36 = 83,471.73/x
  3. Step 3: Cross multiply
    201,715.53x = 302,675.36 × 83,471.73
  4. Step 4: Simplify right side
    201,715.53x = 25,264,835,510.21
  5. Step 5: Solve for x
    x = 25,264,835,510.21/201,715.53
  6. Step 6: Final answer
    x = 125,249.83

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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.