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Finding the Fourth Proportional to 272,016.30, 408,024.45 and 161,424.30

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Solution

The fourth proportional to 272,016.30, 408,024.45 and 161,424.30 is: 242,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,016.30 : 408,024.45 = 161,424.30 : x
  2. Step 2: Convert to fraction form
    272,016.30/408,024.45 = 161,424.30/x
  3. Step 3: Cross multiply
    272,016.30x = 408,024.45 × 161,424.30
  4. Step 4: Simplify right side
    272,016.30x = 65,865,061,224.14
  5. Step 5: Solve for x
    x = 65,865,061,224.14/272,016.30
  6. Step 6: Final answer
    x = 242,136.45

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1.5x scale

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.