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Finding the Fourth Proportional to 201,532.38, 302,419.01 and 75,261.30

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Solution

The fourth proportional to 201,532.38, 302,419.01 and 75,261.30 is: 112,936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,532.38 : 302,419.01 = 75,261.30 : x
  2. Step 2: Convert to fraction form
    201,532.38/302,419.01 = 75,261.30/x
  3. Step 3: Cross multiply
    201,532.38x = 302,419.01 × 75,261.30
  4. Step 4: Simplify right side
    201,532.38x = 22,760,447,837.31
  5. Step 5: Solve for x
    x = 22,760,447,837.31/201,532.38
  6. Step 6: Final answer
    x = 112,936.93

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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.