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Finding the Fourth Proportional to 201,635.30, 302,562.30 and 83,318.60

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Solution

The fourth proportional to 201,635.30, 302,562.30 and 83,318.60 is: 125,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,635.30 : 302,562.30 = 83,318.60 : x
  2. Step 2: Convert to fraction form
    201,635.30/302,562.30 = 83,318.60/x
  3. Step 3: Cross multiply
    201,635.30x = 302,562.30 × 83,318.60
  4. Step 4: Simplify right side
    201,635.30x = 25,209,067,248.78
  5. Step 5: Solve for x
    x = 25,209,067,248.78/201,635.30
  6. Step 6: Final answer
    x = 125,023.08

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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.