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Finding the Fourth Proportional to 252,674.14, 348,690.80 and 137,952.78

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Solution

The fourth proportional to 252,674.14, 348,690.80 and 137,952.78 is: 190,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,674.14 : 348,690.80 = 137,952.78 : x
  2. Step 2: Convert to fraction form
    252,674.14/348,690.80 = 137,952.78/x
  3. Step 3: Cross multiply
    252,674.14x = 348,690.80 × 137,952.78
  4. Step 4: Simplify right side
    252,674.14x = 48,102,865,220.42
  5. Step 5: Solve for x
    x = 48,102,865,220.42/252,674.14
  6. Step 6: Final answer
    x = 190,375.10

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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.