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Finding the Fourth Proportional to 92,110.20, 138,238.20 and 35,977.20

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Solution

The fourth proportional to 92,110.20, 138,238.20 and 35,977.20 is: 53,994.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,110.20 : 138,238.20 = 35,977.20 : x
  2. Step 2: Convert to fraction form
    92,110.20/138,238.20 = 35,977.20/x
  3. Step 3: Cross multiply
    92,110.20x = 138,238.20 × 35,977.20
  4. Step 4: Simplify right side
    92,110.20x = 4,973,423,369.04
  5. Step 5: Solve for x
    x = 4,973,423,369.04/92,110.20
  6. Step 6: Final answer
    x = 53,994.27

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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.