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Finding the Fourth Proportional to 180,002.94, 270,042.60 and 61,642.50

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Solution

The fourth proportional to 180,002.94, 270,042.60 and 61,642.50 is: 92,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,002.94 : 270,042.60 = 61,642.50 : x
  2. Step 2: Convert to fraction form
    180,002.94/270,042.60 = 61,642.50/x
  3. Step 3: Cross multiply
    180,002.94x = 270,042.60 × 61,642.50
  4. Step 4: Simplify right side
    180,002.94x = 16,646,100,970.50
  5. Step 5: Solve for x
    x = 16,646,100,970.50/180,002.94
  6. Step 6: Final answer
    x = 92,476.83

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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.