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Finding the Fourth Proportional to 194,998, 268,837.01 and 154,844.68

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Solution

The fourth proportional to 194,998, 268,837.01 and 154,844.68 is: 213,479.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,998 : 268,837.01 = 154,844.68 : x
  2. Step 2: Convert to fraction form
    194,998/268,837.01 = 154,844.68/x
  3. Step 3: Cross multiply
    194,998x = 268,837.01 × 154,844.68
  4. Step 4: Simplify right side
    194,998x = 41,627,980,785.61
  5. Step 5: Solve for x
    x = 41,627,980,785.61/194,998
  6. Step 6: Final answer
    x = 213,479.01

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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.