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Finding the Fourth Proportional to 255,584.65, 383,376.92 and 68,596.15

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Solution

The fourth proportional to 255,584.65, 383,376.92 and 68,596.15 is: 102,894.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,584.65 : 383,376.92 = 68,596.15 : x
  2. Step 2: Convert to fraction form
    255,584.65/383,376.92 = 68,596.15/x
  3. Step 3: Cross multiply
    255,584.65x = 383,376.92 × 68,596.15
  4. Step 4: Simplify right side
    255,584.65x = 26,298,180,317.38
  5. Step 5: Solve for x
    x = 26,298,180,317.38/255,584.65
  6. Step 6: Final answer
    x = 102,894.21

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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.