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Finding the Fourth Proportional to 268,698.14, 370,803.38 and 147,836.78

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Solution

The fourth proportional to 268,698.14, 370,803.38 and 147,836.78 is: 204,014.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,698.14 : 370,803.38 = 147,836.78 : x
  2. Step 2: Convert to fraction form
    268,698.14/370,803.38 = 147,836.78/x
  3. Step 3: Cross multiply
    268,698.14x = 370,803.38 × 147,836.78
  4. Step 4: Simplify right side
    268,698.14x = 54,818,377,712.32
  5. Step 5: Solve for x
    x = 54,818,377,712.32/268,698.14
  6. Step 6: Final answer
    x = 204,014.73

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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.