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Finding the Fourth Proportional to 223,282.86, 308,133.84 and 121,310.34

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Solution

The fourth proportional to 223,282.86, 308,133.84 and 121,310.34 is: 167,410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,282.86 : 308,133.84 = 121,310.34 : x
  2. Step 2: Convert to fraction form
    223,282.86/308,133.84 = 121,310.34/x
  3. Step 3: Cross multiply
    223,282.86x = 308,133.84 × 121,310.34
  4. Step 4: Simplify right side
    223,282.86x = 37,379,821,350.82
  5. Step 5: Solve for x
    x = 37,379,821,350.82/223,282.86
  6. Step 6: Final answer
    x = 167,410.17

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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.