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Finding the Fourth Proportional to 214,940.18, 296,650.15 and 154,710.20

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Solution

The fourth proportional to 214,940.18, 296,650.15 and 154,710.20 is: 213,523.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,940.18 : 296,650.15 = 154,710.20 : x
  2. Step 2: Convert to fraction form
    214,940.18/296,650.15 = 154,710.20/x
  3. Step 3: Cross multiply
    214,940.18x = 296,650.15 × 154,710.20
  4. Step 4: Simplify right side
    214,940.18x = 45,894,804,391.38
  5. Step 5: Solve for x
    x = 45,894,804,391.38/214,940.18
  6. Step 6: Final answer
    x = 213,523.61

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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.