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Finding the Fourth Proportional to 193,112.65, 289,702.55 and 65,016.78

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Solution

The fourth proportional to 193,112.65, 289,702.55 and 65,016.78 is: 97,536.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,112.65 : 289,702.55 = 65,016.78 : x
  2. Step 2: Convert to fraction form
    193,112.65/289,702.55 = 65,016.78/x
  3. Step 3: Cross multiply
    193,112.65x = 289,702.55 × 65,016.78
  4. Step 4: Simplify right side
    193,112.65x = 18,835,526,958.79
  5. Step 5: Solve for x
    x = 18,835,526,958.79/193,112.65
  6. Step 6: Final answer
    x = 97,536.47

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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.