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Finding the Fourth Proportional to 201,882.30, 302,714.10 and 83,419.80

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Solution

The fourth proportional to 201,882.30, 302,714.10 and 83,419.80 is: 125,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,882.30 : 302,714.10 = 83,419.80 : x
  2. Step 2: Convert to fraction form
    201,882.30/302,714.10 = 83,419.80/x
  3. Step 3: Cross multiply
    201,882.30x = 302,714.10 × 83,419.80
  4. Step 4: Simplify right side
    201,882.30x = 25,252,349,679.18
  5. Step 5: Solve for x
    x = 25,252,349,679.18/201,882.30
  6. Step 6: Final answer
    x = 125,084.52

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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.