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Finding the Fourth Proportional to 201,213.80, 301,711.35 and 82,897.10

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Solution

The fourth proportional to 201,213.80, 301,711.35 and 82,897.10 is: 124,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,213.80 : 301,711.35 = 82,897.10 : x
  2. Step 2: Convert to fraction form
    201,213.80/301,711.35 = 82,897.10/x
  3. Step 3: Cross multiply
    201,213.80x = 301,711.35 × 82,897.10
  4. Step 4: Simplify right side
    201,213.80x = 25,010,995,952.09
  5. Step 5: Solve for x
    x = 25,010,995,952.09/201,213.80
  6. Step 6: Final answer
    x = 124,300.60

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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.