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Finding the Fourth Proportional to 255,206.50, 382,780.59 and 68,232.58

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Solution

The fourth proportional to 255,206.50, 382,780.59 and 68,232.58 is: 102,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,206.50 : 382,780.59 = 68,232.58 : x
  2. Step 2: Convert to fraction form
    255,206.50/382,780.59 = 68,232.58/x
  3. Step 3: Cross multiply
    255,206.50x = 382,780.59 × 68,232.58
  4. Step 4: Simplify right side
    255,206.50x = 26,118,107,229.62
  5. Step 5: Solve for x
    x = 26,118,107,229.62/255,206.50
  6. Step 6: Final answer
    x = 102,341.07

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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.