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Finding the Fourth Proportional to 109,687.80, 164,531.70 and 94,135.80

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Solution

The fourth proportional to 109,687.80, 164,531.70 and 94,135.80 is: 141,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,687.80 : 164,531.70 = 94,135.80 : x
  2. Step 2: Convert to fraction form
    109,687.80/164,531.70 = 94,135.80/x
  3. Step 3: Cross multiply
    109,687.80x = 164,531.70 × 94,135.80
  4. Step 4: Simplify right side
    109,687.80x = 15,488,323,204.86
  5. Step 5: Solve for x
    x = 15,488,323,204.86/109,687.80
  6. Step 6: Final answer
    x = 141,203.70

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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.