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Finding the Fourth Proportional to 180,185.86, 270,303.62 and 61,841.82

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Solution

The fourth proportional to 180,185.86, 270,303.62 and 61,841.82 is: 92,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,185.86 : 270,303.62 = 61,841.82 : x
  2. Step 2: Convert to fraction form
    180,185.86/270,303.62 = 61,841.82/x
  3. Step 3: Cross multiply
    180,185.86x = 270,303.62 × 61,841.82
  4. Step 4: Simplify right side
    180,185.86x = 16,716,067,504.18
  5. Step 5: Solve for x
    x = 16,716,067,504.18/180,185.86
  6. Step 6: Final answer
    x = 92,771.25

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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.