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Finding the Fourth Proportional to 180,070.59, 270,105.89 and 61,742.95

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Solution

The fourth proportional to 180,070.59, 270,105.89 and 61,742.95 is: 92,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,070.59 : 270,105.89 = 61,742.95 : x
  2. Step 2: Convert to fraction form
    180,070.59/270,105.89 = 61,742.95/x
  3. Step 3: Cross multiply
    180,070.59x = 270,105.89 × 61,742.95
  4. Step 4: Simplify right side
    180,070.59x = 16,677,134,460.98
  5. Step 5: Solve for x
    x = 16,677,134,460.98/180,070.59
  6. Step 6: Final answer
    x = 92,614.43

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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.