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Finding the Fourth Proportional to 223,174.88, 307,981.32 and 121,199.84

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Solution

The fourth proportional to 223,174.88, 307,981.32 and 121,199.84 is: 167,255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,174.88 : 307,981.32 = 121,199.84 : x
  2. Step 2: Convert to fraction form
    223,174.88/307,981.32 = 121,199.84/x
  3. Step 3: Cross multiply
    223,174.88x = 307,981.32 × 121,199.84
  4. Step 4: Simplify right side
    223,174.88x = 37,327,286,706.99
  5. Step 5: Solve for x
    x = 37,327,286,706.99/223,174.88
  6. Step 6: Final answer
    x = 167,255.77

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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.