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Finding the Fourth Proportional to 206,342.84, 284,803.72 and 125,814.72

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Solution

The fourth proportional to 206,342.84, 284,803.72 and 125,814.72 is: 173,655.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,342.84 : 284,803.72 = 125,814.72 : x
  2. Step 2: Convert to fraction form
    206,342.84/284,803.72 = 125,814.72/x
  3. Step 3: Cross multiply
    206,342.84x = 284,803.72 × 125,814.72
  4. Step 4: Simplify right side
    206,342.84x = 35,832,500,286.76
  5. Step 5: Solve for x
    x = 35,832,500,286.76/206,342.84
  6. Step 6: Final answer
    x = 173,655.17

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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.