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Finding the Fourth Proportional to 195,538.50, 269,843.13 and 110,655.77

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Solution

The fourth proportional to 195,538.50, 269,843.13 and 110,655.77 is: 152,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,538.50 : 269,843.13 = 110,655.77 : x
  2. Step 2: Convert to fraction form
    195,538.50/269,843.13 = 110,655.77/x
  3. Step 3: Cross multiply
    195,538.50x = 269,843.13 × 110,655.77
  4. Step 4: Simplify right side
    195,538.50x = 29,859,697,980.14
  5. Step 5: Solve for x
    x = 29,859,697,980.14/195,538.50
  6. Step 6: Final answer
    x = 152,704.96

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Why These Related Problems?

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