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Finding the Fourth Proportional to 193,843.76, 290,646.54 and 75,376.98

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Solution

The fourth proportional to 193,843.76, 290,646.54 and 75,376.98 is: 113,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,843.76 : 290,646.54 = 75,376.98 : x
  2. Step 2: Convert to fraction form
    193,843.76/290,646.54 = 75,376.98/x
  3. Step 3: Cross multiply
    193,843.76x = 290,646.54 × 75,376.98
  4. Step 4: Simplify right side
    193,843.76x = 21,908,058,432.65
  5. Step 5: Solve for x
    x = 21,908,058,432.65/193,843.76
  6. Step 6: Final answer
    x = 113,019.16

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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.