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Finding the Fourth Proportional to 255,320.50, 382,980.75 and 68,327.14

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Solution

The fourth proportional to 255,320.50, 382,980.75 and 68,327.14 is: 102,490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,320.50 : 382,980.75 = 68,327.14 : x
  2. Step 2: Convert to fraction form
    255,320.50/382,980.75 = 68,327.14/x
  3. Step 3: Cross multiply
    255,320.50x = 382,980.75 × 68,327.14
  4. Step 4: Simplify right side
    255,320.50x = 26,167,979,322.56
  5. Step 5: Solve for x
    x = 26,167,979,322.56/255,320.50
  6. Step 6: Final answer
    x = 102,490.71

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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.