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Finding the Fourth Proportional to 180,019.05, 270,066.84 and 61,658.61

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Solution

The fourth proportional to 180,019.05, 270,066.84 and 61,658.61 is: 92,501.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,019.05 : 270,066.84 = 61,658.61 : x
  2. Step 2: Convert to fraction form
    180,019.05/270,066.84 = 61,658.61/x
  3. Step 3: Cross multiply
    180,019.05x = 270,066.84 × 61,658.61
  4. Step 4: Simplify right side
    180,019.05x = 16,651,945,961.49
  5. Step 5: Solve for x
    x = 16,651,945,961.49/180,019.05
  6. Step 6: Final answer
    x = 92,501.02

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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.