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Finding the Fourth Proportional to 232,213.80, 348,320.70 and 82,477.20

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Solution

The fourth proportional to 232,213.80, 348,320.70 and 82,477.20 is: 123,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,213.80 : 348,320.70 = 82,477.20 : x
  2. Step 2: Convert to fraction form
    232,213.80/348,320.70 = 82,477.20/x
  3. Step 3: Cross multiply
    232,213.80x = 348,320.70 × 82,477.20
  4. Step 4: Simplify right side
    232,213.80x = 28,728,516,038.04
  5. Step 5: Solve for x
    x = 28,728,516,038.04/232,213.80
  6. Step 6: Final answer
    x = 123,715.80

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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.