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Finding the Fourth Proportional to 232,826.80, 348,721.80 and 201,722.80

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Solution

The fourth proportional to 232,826.80, 348,721.80 and 201,722.80 is: 302,135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,826.80 : 348,721.80 = 201,722.80 : x
  2. Step 2: Convert to fraction form
    232,826.80/348,721.80 = 201,722.80/x
  3. Step 3: Cross multiply
    232,826.80x = 348,721.80 × 201,722.80
  4. Step 4: Simplify right side
    232,826.80x = 70,345,137,917.04
  5. Step 5: Solve for x
    x = 70,345,137,917.04/232,826.80
  6. Step 6: Final answer
    x = 302,135.05

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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.