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Finding the Fourth Proportional to 100,181.96, 150,034.42 and 57,973.06

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Solution

The fourth proportional to 100,181.96, 150,034.42 and 57,973.06 is: 86,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,181.96 : 150,034.42 = 57,973.06 : x
  2. Step 2: Convert to fraction form
    100,181.96/150,034.42 = 57,973.06/x
  3. Step 3: Cross multiply
    100,181.96x = 150,034.42 × 57,973.06
  4. Step 4: Simplify right side
    100,181.96x = 8,697,954,692.73
  5. Step 5: Solve for x
    x = 8,697,954,692.73/100,181.96
  6. Step 6: Final answer
    x = 86,821.57

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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.