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Finding the Fourth Proportional to 106,191, 159,286.50 and 36,070.92

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Solution

The fourth proportional to 106,191, 159,286.50 and 36,070.92 is: 54,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,191 : 159,286.50 = 36,070.92 : x
  2. Step 2: Convert to fraction form
    106,191/159,286.50 = 36,070.92/x
  3. Step 3: Cross multiply
    106,191x = 159,286.50 × 36,070.92
  4. Step 4: Simplify right side
    106,191x = 5,745,610,598.58
  5. Step 5: Solve for x
    x = 5,745,610,598.58/106,191
  6. Step 6: Final answer
    x = 54,106.38

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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.