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Finding the Fourth Proportional to 272,003.80, 408,005.70 and 161,411.80

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Solution

The fourth proportional to 272,003.80, 408,005.70 and 161,411.80 is: 242,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,003.80 : 408,005.70 = 161,411.80 : x
  2. Step 2: Convert to fraction form
    272,003.80/408,005.70 = 161,411.80/x
  3. Step 3: Cross multiply
    272,003.80x = 408,005.70 × 161,411.80
  4. Step 4: Simplify right side
    272,003.80x = 65,856,934,447.26
  5. Step 5: Solve for x
    x = 65,856,934,447.26/272,003.80
  6. Step 6: Final answer
    x = 242,117.70

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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.