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Finding the Fourth Proportional to 151,095.38, 208,511.82 and 84,027.38

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Solution

The fourth proportional to 151,095.38, 208,511.82 and 84,027.38 is: 115,957.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,095.38 : 208,511.82 = 84,027.38 : x
  2. Step 2: Convert to fraction form
    151,095.38/208,511.82 = 84,027.38/x
  3. Step 3: Cross multiply
    151,095.38x = 208,511.82 × 84,027.38
  4. Step 4: Simplify right side
    151,095.38x = 17,520,700,891.07
  5. Step 5: Solve for x
    x = 17,520,700,891.07/151,095.38
  6. Step 6: Final answer
    x = 115,957.89

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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.