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Finding the Fourth Proportional to 268,251.80, 402,377.70 and 102,018.20

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Solution

The fourth proportional to 268,251.80, 402,377.70 and 102,018.20 is: 153,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,251.80 : 402,377.70 = 102,018.20 : x
  2. Step 2: Convert to fraction form
    268,251.80/402,377.70 = 102,018.20/x
  3. Step 3: Cross multiply
    268,251.80x = 402,377.70 × 102,018.20
  4. Step 4: Simplify right side
    268,251.80x = 41,049,848,674.14
  5. Step 5: Solve for x
    x = 41,049,848,674.14/268,251.80
  6. Step 6: Final answer
    x = 153,027.30

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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.