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Finding the Fourth Proportional to 252,804.32, 379,207.95 and 84,324.22

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Solution

The fourth proportional to 252,804.32, 379,207.95 and 84,324.22 is: 126,486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,804.32 : 379,207.95 = 84,324.22 : x
  2. Step 2: Convert to fraction form
    252,804.32/379,207.95 = 84,324.22/x
  3. Step 3: Cross multiply
    252,804.32x = 379,207.95 × 84,324.22
  4. Step 4: Simplify right side
    252,804.32x = 31,976,413,337.31
  5. Step 5: Solve for x
    x = 31,976,413,337.31/252,804.32
  6. Step 6: Final answer
    x = 126,486.82

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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.