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Finding the Fourth Proportional to 196,245.86, 270,816 and 110,205.63

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Solution

The fourth proportional to 196,245.86, 270,816 and 110,205.63 is: 152,081.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,245.86 : 270,816 = 110,205.63 : x
  2. Step 2: Convert to fraction form
    196,245.86/270,816 = 110,205.63/x
  3. Step 3: Cross multiply
    196,245.86x = 270,816 × 110,205.63
  4. Step 4: Simplify right side
    196,245.86x = 29,845,447,894.08
  5. Step 5: Solve for x
    x = 29,845,447,894.08/196,245.86
  6. Step 6: Final answer
    x = 152,081.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.