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Finding the Fourth Proportional to 180,570.50, 270,791.86 and 52,460.13

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Solution

The fourth proportional to 180,570.50, 270,791.86 and 52,460.13 is: 78,671.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,570.50 : 270,791.86 = 52,460.13 : x
  2. Step 2: Convert to fraction form
    180,570.50/270,791.86 = 52,460.13/x
  3. Step 3: Cross multiply
    180,570.50x = 270,791.86 × 52,460.13
  4. Step 4: Simplify right side
    180,570.50x = 14,205,776,047.39
  5. Step 5: Solve for x
    x = 14,205,776,047.39/180,570.50
  6. Step 6: Final answer
    x = 78,671.63

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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.