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Finding the Fourth Proportional to 232,864.50, 321,353.01 and 126,880.50

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Solution

The fourth proportional to 232,864.50, 321,353.01 and 126,880.50 is: 175,095.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,864.50 : 321,353.01 = 126,880.50 : x
  2. Step 2: Convert to fraction form
    232,864.50/321,353.01 = 126,880.50/x
  3. Step 3: Cross multiply
    232,864.50x = 321,353.01 × 126,880.50
  4. Step 4: Simplify right side
    232,864.50x = 40,773,430,585.31
  5. Step 5: Solve for x
    x = 40,773,430,585.31/232,864.50
  6. Step 6: Final answer
    x = 175,095.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.