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Finding the Fourth Proportional to 193,006.91, 289,549.06 and 66,651.80

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Solution

The fourth proportional to 193,006.91, 289,549.06 and 66,651.80 is: 99,991.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,006.91 : 289,549.06 = 66,651.80 : x
  2. Step 2: Convert to fraction form
    193,006.91/289,549.06 = 66,651.80/x
  3. Step 3: Cross multiply
    193,006.91x = 289,549.06 × 66,651.80
  4. Step 4: Simplify right side
    193,006.91x = 19,298,964,422.93
  5. Step 5: Solve for x
    x = 19,298,964,422.93/193,006.91
  6. Step 6: Final answer
    x = 99,991.05

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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.