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Finding the Fourth Proportional to 272,024, 408,059.04 and 75,032

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Solution

The fourth proportional to 272,024, 408,059.04 and 75,032 is: 112,554.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,024 : 408,059.04 = 75,032 : x
  2. Step 2: Convert to fraction form
    272,024/408,059.04 = 75,032/x
  3. Step 3: Cross multiply
    272,024x = 408,059.04 × 75,032
  4. Step 4: Simplify right side
    272,024x = 30,617,485,889.28
  5. Step 5: Solve for x
    x = 30,617,485,889.28/272,024
  6. Step 6: Final answer
    x = 112,554.36

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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.