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Finding the Fourth Proportional to 252,042.84, 347,809.01 and 137,322.41

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Solution

The fourth proportional to 252,042.84, 347,809.01 and 137,322.41 is: 189,499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,042.84 : 347,809.01 = 137,322.41 : x
  2. Step 2: Convert to fraction form
    252,042.84/347,809.01 = 137,322.41/x
  3. Step 3: Cross multiply
    252,042.84x = 347,809.01 × 137,322.41
  4. Step 4: Simplify right side
    252,042.84x = 47,761,969,047.26
  5. Step 5: Solve for x
    x = 47,761,969,047.26/252,042.84
  6. Step 6: Final answer
    x = 189,499.41

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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.