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Finding the Fourth Proportional to 201,727.70, 302,461.95 and 83,446.10

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Solution

The fourth proportional to 201,727.70, 302,461.95 and 83,446.10 is: 125,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,727.70 : 302,461.95 = 83,446.10 : x
  2. Step 2: Convert to fraction form
    201,727.70/302,461.95 = 83,446.10/x
  3. Step 3: Cross multiply
    201,727.70x = 302,461.95 × 83,446.10
  4. Step 4: Simplify right side
    201,727.70x = 25,239,270,125.90
  5. Step 5: Solve for x
    x = 25,239,270,125.90/201,727.70
  6. Step 6: Final answer
    x = 125,115.54

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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.