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Finding the Fourth Proportional to 207,095.77, 285,786.50 and 116,449.41

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Solution

The fourth proportional to 207,095.77, 285,786.50 and 116,449.41 is: 160,697.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,095.77 : 285,786.50 = 116,449.41 : x
  2. Step 2: Convert to fraction form
    207,095.77/285,786.50 = 116,449.41/x
  3. Step 3: Cross multiply
    207,095.77x = 285,786.50 × 116,449.41
  4. Step 4: Simplify right side
    207,095.77x = 33,279,669,800.42
  5. Step 5: Solve for x
    x = 33,279,669,800.42/207,095.77
  6. Step 6: Final answer
    x = 160,697.00

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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.