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Finding the Fourth Proportional to 234,222, 351,342.72 and 68,010

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Solution

The fourth proportional to 234,222, 351,342.72 and 68,010 is: 102,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,222 : 351,342.72 = 68,010 : x
  2. Step 2: Convert to fraction form
    234,222/351,342.72 = 68,010/x
  3. Step 3: Cross multiply
    234,222x = 351,342.72 × 68,010
  4. Step 4: Simplify right side
    234,222x = 23,894,818,387.20
  5. Step 5: Solve for x
    x = 23,894,818,387.20/234,222
  6. Step 6: Final answer
    x = 102,017.82

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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.