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Finding the Fourth Proportional to 180,041.95, 270,103.11 and 67,723.10

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Solution

The fourth proportional to 180,041.95, 270,103.11 and 67,723.10 is: 101,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,041.95 : 270,103.11 = 67,723.10 : x
  2. Step 2: Convert to fraction form
    180,041.95/270,103.11 = 67,723.10/x
  3. Step 3: Cross multiply
    180,041.95x = 270,103.11 × 67,723.10
  4. Step 4: Simplify right side
    180,041.95x = 18,292,219,337.25
  5. Step 5: Solve for x
    x = 18,292,219,337.25/180,041.95
  6. Step 6: Final answer
    x = 101,599.76

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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.