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Finding the Fourth Proportional to 201,513.08, 302,306.52 and 83,119.83

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Solution

The fourth proportional to 201,513.08, 302,306.52 and 83,119.83 is: 124,694.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,513.08 : 302,306.52 = 83,119.83 : x
  2. Step 2: Convert to fraction form
    201,513.08/302,306.52 = 83,119.83/x
  3. Step 3: Cross multiply
    201,513.08x = 302,306.52 × 83,119.83
  4. Step 4: Simplify right side
    201,513.08x = 25,127,666,134.69
  5. Step 5: Solve for x
    x = 25,127,666,134.69/201,513.08
  6. Step 6: Final answer
    x = 124,694.97

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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.