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Finding the Fourth Proportional to 223,773.14, 308,592.28 and 150,351.60

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Solution

The fourth proportional to 223,773.14, 308,592.28 and 150,351.60 is: 207,340.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,773.14 : 308,592.28 = 150,351.60 : x
  2. Step 2: Convert to fraction form
    223,773.14/308,592.28 = 150,351.60/x
  3. Step 3: Cross multiply
    223,773.14x = 308,592.28 × 150,351.60
  4. Step 4: Simplify right side
    223,773.14x = 46,397,344,226.99
  5. Step 5: Solve for x
    x = 46,397,344,226.99/223,773.14
  6. Step 6: Final answer
    x = 207,340.99

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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.