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Finding the Fourth Proportional to 199,792.88, 275,531.40 and 156,191.12

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Solution

The fourth proportional to 199,792.88, 275,531.40 and 156,191.12 is: 215,400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,792.88 : 275,531.40 = 156,191.12 : x
  2. Step 2: Convert to fraction form
    199,792.88/275,531.40 = 156,191.12/x
  3. Step 3: Cross multiply
    199,792.88x = 275,531.40 × 156,191.12
  4. Step 4: Simplify right side
    199,792.88x = 43,035,557,961.17
  5. Step 5: Solve for x
    x = 43,035,557,961.17/199,792.88
  6. Step 6: Final answer
    x = 215,400.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.