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Finding the Fourth Proportional to 201,641.24, 302,286.89 and 101,718.02

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Solution

The fourth proportional to 201,641.24, 302,286.89 and 101,718.02 is: 152,488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,641.24 : 302,286.89 = 101,718.02 : x
  2. Step 2: Convert to fraction form
    201,641.24/302,286.89 = 101,718.02/x
  3. Step 3: Cross multiply
    201,641.24x = 302,286.89 × 101,718.02
  4. Step 4: Simplify right side
    201,641.24x = 30,748,021,902.73
  5. Step 5: Solve for x
    x = 30,748,021,902.73/201,641.24
  6. Step 6: Final answer
    x = 152,488.76

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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.