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Finding the Fourth Proportional to 232,006.20, 347,231.70 and 162,022.20

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Solution

The fourth proportional to 232,006.20, 347,231.70 and 162,022.20 is: 242,490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,006.20 : 347,231.70 = 162,022.20 : x
  2. Step 2: Convert to fraction form
    232,006.20/347,231.70 = 162,022.20/x
  3. Step 3: Cross multiply
    232,006.20x = 347,231.70 × 162,022.20
  4. Step 4: Simplify right side
    232,006.20x = 56,259,243,943.74
  5. Step 5: Solve for x
    x = 56,259,243,943.74/232,006.20
  6. Step 6: Final answer
    x = 242,490.26

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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.