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Finding the Fourth Proportional to 201,264.48, 301,747.68 and 101,351.52

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Solution

The fourth proportional to 201,264.48, 301,747.68 and 101,351.52 is: 151,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,264.48 : 301,747.68 = 101,351.52 : x
  2. Step 2: Convert to fraction form
    201,264.48/301,747.68 = 101,351.52/x
  3. Step 3: Cross multiply
    201,264.48x = 301,747.68 × 101,351.52
  4. Step 4: Simplify right side
    201,264.48x = 30,582,586,024.47
  5. Step 5: Solve for x
    x = 30,582,586,024.47/201,264.48
  6. Step 6: Final answer
    x = 151,952.23

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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.