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Finding the Fourth Proportional to 113,096.94, 169,386.94 and 53,974.13

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Solution

The fourth proportional to 113,096.94, 169,386.94 and 53,974.13 is: 80,837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,096.94 : 169,386.94 = 53,974.13 : x
  2. Step 2: Convert to fraction form
    113,096.94/169,386.94 = 53,974.13/x
  3. Step 3: Cross multiply
    113,096.94x = 169,386.94 × 53,974.13
  4. Step 4: Simplify right side
    113,096.94x = 9,142,511,872.93
  5. Step 5: Solve for x
    x = 9,142,511,872.93/113,096.94
  6. Step 6: Final answer
    x = 80,837.84

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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.