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Finding the Fourth Proportional to 144,132.63, 198,887.85 and 83,691.45

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Solution

The fourth proportional to 144,132.63, 198,887.85 and 83,691.45 is: 115,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,132.63 : 198,887.85 = 83,691.45 : x
  2. Step 2: Convert to fraction form
    144,132.63/198,887.85 = 83,691.45/x
  3. Step 3: Cross multiply
    144,132.63x = 198,887.85 × 83,691.45
  4. Step 4: Simplify right side
    144,132.63x = 16,645,212,553.88
  5. Step 5: Solve for x
    x = 16,645,212,553.88/144,132.63
  6. Step 6: Final answer
    x = 115,485.39

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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.