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Finding the Fourth Proportional to 201,902.10, 302,828.85 and 83,561.10

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Solution

The fourth proportional to 201,902.10, 302,828.85 and 83,561.10 is: 125,331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,902.10 : 302,828.85 = 83,561.10 : x
  2. Step 2: Convert to fraction form
    201,902.10/302,828.85 = 83,561.10/x
  3. Step 3: Cross multiply
    201,902.10x = 302,828.85 × 83,561.10
  4. Step 4: Simplify right side
    201,902.10x = 25,304,711,817.74
  5. Step 5: Solve for x
    x = 25,304,711,817.74/201,902.10
  6. Step 6: Final answer
    x = 125,331.59

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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.