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Finding the Fourth Proportional to 208,402.88, 312,642.72 and 68,169.28

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Solution

The fourth proportional to 208,402.88, 312,642.72 and 68,169.28 is: 102,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,402.88 : 312,642.72 = 68,169.28 : x
  2. Step 2: Convert to fraction form
    208,402.88/312,642.72 = 68,169.28/x
  3. Step 3: Cross multiply
    208,402.88x = 312,642.72 × 68,169.28
  4. Step 4: Simplify right side
    208,402.88x = 21,312,629,119.64
  5. Step 5: Solve for x
    x = 21,312,629,119.64/208,402.88
  6. Step 6: Final answer
    x = 102,266.48

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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.