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Finding the Fourth Proportional to 193,614.54, 290,458.08 and 86,995.86

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Solution

The fourth proportional to 193,614.54, 290,458.08 and 86,995.86 is: 130,510.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,614.54 : 290,458.08 = 86,995.86 : x
  2. Step 2: Convert to fraction form
    193,614.54/290,458.08 = 86,995.86/x
  3. Step 3: Cross multiply
    193,614.54x = 290,458.08 × 86,995.86
  4. Step 4: Simplify right side
    193,614.54x = 25,268,650,463.55
  5. Step 5: Solve for x
    x = 25,268,650,463.55/193,614.54
  6. Step 6: Final answer
    x = 130,510.09

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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.