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Finding the Fourth Proportional to 252,809.12, 379,324.40 and 119,784.32

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Solution

The fourth proportional to 252,809.12, 379,324.40 and 119,784.32 is: 179,728.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,809.12 : 379,324.40 = 119,784.32 : x
  2. Step 2: Convert to fraction form
    252,809.12/379,324.40 = 119,784.32/x
  3. Step 3: Cross multiply
    252,809.12x = 379,324.40 × 119,784.32
  4. Step 4: Simplify right side
    252,809.12x = 45,437,115,313.41
  5. Step 5: Solve for x
    x = 45,437,115,313.41/252,809.12
  6. Step 6: Final answer
    x = 179,728.94

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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.