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Finding the Fourth Proportional to 206,553.17, 285,045.67 and 114,678.72

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Solution

The fourth proportional to 206,553.17, 285,045.67 and 114,678.72 is: 158,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,553.17 : 285,045.67 = 114,678.72 : x
  2. Step 2: Convert to fraction form
    206,553.17/285,045.67 = 114,678.72/x
  3. Step 3: Cross multiply
    206,553.17x = 285,045.67 × 114,678.72
  4. Step 4: Simplify right side
    206,553.17x = 32,688,671,151.91
  5. Step 5: Solve for x
    x = 32,688,671,151.91/206,553.17
  6. Step 6: Final answer
    x = 158,257.90

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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.