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Finding the Fourth Proportional to 100,156.89, 150,255.39 and 36,977.40

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Solution

The fourth proportional to 100,156.89, 150,255.39 and 36,977.40 is: 55,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,156.89 : 150,255.39 = 36,977.40 : x
  2. Step 2: Convert to fraction form
    100,156.89/150,255.39 = 36,977.40/x
  3. Step 3: Cross multiply
    100,156.89x = 150,255.39 × 36,977.40
  4. Step 4: Simplify right side
    100,156.89x = 5,556,053,658.19
  5. Step 5: Solve for x
    x = 5,556,053,658.19/100,156.89
  6. Step 6: Final answer
    x = 55,473.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.