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Finding the Fourth Proportional to 255,297.26, 382,916.72 and 68,323.34

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Solution

The fourth proportional to 255,297.26, 382,916.72 and 68,323.34 is: 102,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,297.26 : 382,916.72 = 68,323.34 : x
  2. Step 2: Convert to fraction form
    255,297.26/382,916.72 = 68,323.34/x
  3. Step 3: Cross multiply
    255,297.26x = 382,916.72 × 68,323.34
  4. Step 4: Simplify right side
    255,297.26x = 26,162,149,252.24
  5. Step 5: Solve for x
    x = 26,162,149,252.24/255,297.26
  6. Step 6: Final answer
    x = 102,477.20

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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.