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Finding the Fourth Proportional to 255,865.36, 383,798.04 and 68,872

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Solution

The fourth proportional to 255,865.36, 383,798.04 and 68,872 is: 103,308

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,865.36 : 383,798.04 = 68,872 : x
  2. Step 2: Convert to fraction form
    255,865.36/383,798.04 = 68,872/x
  3. Step 3: Cross multiply
    255,865.36x = 383,798.04 × 68,872
  4. Step 4: Simplify right side
    255,865.36x = 26,432,938,610.88
  5. Step 5: Solve for x
    x = 26,432,938,610.88/255,865.36
  6. Step 6: Final answer
    x = 103,308

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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.