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Finding the Fourth Proportional to 228,882.84, 343,278.90 and 184,767

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Solution

The fourth proportional to 228,882.84, 343,278.90 and 184,767 is: 277,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,882.84 : 343,278.90 = 184,767 : x
  2. Step 2: Convert to fraction form
    228,882.84/343,278.90 = 184,767/x
  3. Step 3: Cross multiply
    228,882.84x = 343,278.90 × 184,767
  4. Step 4: Simplify right side
    228,882.84x = 63,426,612,516.30
  5. Step 5: Solve for x
    x = 63,426,612,516.30/228,882.84
  6. Step 6: Final answer
    x = 277,113.88

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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.