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Finding the Fourth Proportional to 255,217, 382,796.32 and 68,243.08

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Solution

The fourth proportional to 255,217, 382,796.32 and 68,243.08 is: 102,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,217 : 382,796.32 = 68,243.08 : x
  2. Step 2: Convert to fraction form
    255,217/382,796.32 = 68,243.08/x
  3. Step 3: Cross multiply
    255,217x = 382,796.32 × 68,243.08
  4. Step 4: Simplify right side
    255,217x = 26,123,199,889.47
  5. Step 5: Solve for x
    x = 26,123,199,889.47/255,217
  6. Step 6: Final answer
    x = 102,356.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.