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Finding the Fourth Proportional to 161,612.94, 242,269.74 and 82,552.80

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Solution

The fourth proportional to 161,612.94, 242,269.74 and 82,552.80 is: 123,752.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,612.94 : 242,269.74 = 82,552.80 : x
  2. Step 2: Convert to fraction form
    161,612.94/242,269.74 = 82,552.80/x
  3. Step 3: Cross multiply
    161,612.94x = 242,269.74 × 82,552.80
  4. Step 4: Simplify right side
    161,612.94x = 20,000,045,392.27
  5. Step 5: Solve for x
    x = 20,000,045,392.27/161,612.94
  6. Step 6: Final answer
    x = 123,752.75

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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.