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Finding the Fourth Proportional to 193,094.11, 289,264.10 and 91,747.94

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Solution

The fourth proportional to 193,094.11, 289,264.10 and 91,747.94 is: 137,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,094.11 : 289,264.10 = 91,747.94 : x
  2. Step 2: Convert to fraction form
    193,094.11/289,264.10 = 91,747.94/x
  3. Step 3: Cross multiply
    193,094.11x = 289,264.10 × 91,747.94
  4. Step 4: Simplify right side
    193,094.11x = 26,539,385,290.95
  5. Step 5: Solve for x
    x = 26,539,385,290.95/193,094.11
  6. Step 6: Final answer
    x = 137,442.75

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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.