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Finding the Fourth Proportional to 208,613.31, 312,781.70 and 75,476.25

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Solution

The fourth proportional to 208,613.31, 312,781.70 and 75,476.25 is: 113,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,613.31 : 312,781.70 = 75,476.25 : x
  2. Step 2: Convert to fraction form
    208,613.31/312,781.70 = 75,476.25/x
  3. Step 3: Cross multiply
    208,613.31x = 312,781.70 × 75,476.25
  4. Step 4: Simplify right side
    208,613.31x = 23,607,589,407.24
  5. Step 5: Solve for x
    x = 23,607,589,407.24/208,613.31
  6. Step 6: Final answer
    x = 113,164.35

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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.