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Finding the Fourth Proportional to 92,213.40, 138,320.10 and 52,847.40

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Solution

The fourth proportional to 92,213.40, 138,320.10 and 52,847.40 is: 79,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,213.40 : 138,320.10 = 52,847.40 : x
  2. Step 2: Convert to fraction form
    92,213.40/138,320.10 = 52,847.40/x
  3. Step 3: Cross multiply
    92,213.40x = 138,320.10 × 52,847.40
  4. Step 4: Simplify right side
    92,213.40x = 7,309,857,652.74
  5. Step 5: Solve for x
    x = 7,309,857,652.74/92,213.40
  6. Step 6: Final answer
    x = 79,271.10

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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.