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Finding the Fourth Proportional to 252,432.75, 348,363.78 and 137,713.26

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Solution

The fourth proportional to 252,432.75, 348,363.78 and 137,713.26 is: 190,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,432.75 : 348,363.78 = 137,713.26 : x
  2. Step 2: Convert to fraction form
    252,432.75/348,363.78 = 137,713.26/x
  3. Step 3: Cross multiply
    252,432.75x = 348,363.78 × 137,713.26
  4. Step 4: Simplify right side
    252,432.75x = 47,974,311,809.72
  5. Step 5: Solve for x
    x = 47,974,311,809.72/252,432.75
  6. Step 6: Final answer
    x = 190,047.89

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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.