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Finding the Fourth Proportional to 193,902.71, 290,774.45 and 74,003.32

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Solution

The fourth proportional to 193,902.71, 290,774.45 and 74,003.32 is: 110,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,902.71 : 290,774.45 = 74,003.32 : x
  2. Step 2: Convert to fraction form
    193,902.71/290,774.45 = 74,003.32/x
  3. Step 3: Cross multiply
    193,902.71x = 290,774.45 × 74,003.32
  4. Step 4: Simplify right side
    193,902.71x = 21,518,275,219.65
  5. Step 5: Solve for x
    x = 21,518,275,219.65/193,902.71
  6. Step 6: Final answer
    x = 110,974.60

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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.