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Finding the Fourth Proportional to 201,882.78, 302,823.36 and 75,532.50

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Solution

The fourth proportional to 201,882.78, 302,823.36 and 75,532.50 is: 113,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,882.78 : 302,823.36 = 75,532.50 : x
  2. Step 2: Convert to fraction form
    201,882.78/302,823.36 = 75,532.50/x
  3. Step 3: Cross multiply
    201,882.78x = 302,823.36 × 75,532.50
  4. Step 4: Simplify right side
    201,882.78x = 22,873,005,439.20
  5. Step 5: Solve for x
    x = 22,873,005,439.20/201,882.78
  6. Step 6: Final answer
    x = 113,298.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.