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Finding the Fourth Proportional to 144,577.17, 199,537.44 and 83,311.44

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Solution

The fourth proportional to 144,577.17, 199,537.44 and 83,311.44 is: 114,981.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,577.17 : 199,537.44 = 83,311.44 : x
  2. Step 2: Convert to fraction form
    144,577.17/199,537.44 = 83,311.44/x
  3. Step 3: Cross multiply
    144,577.17x = 199,537.44 × 83,311.44
  4. Step 4: Simplify right side
    144,577.17x = 16,623,751,460.31
  5. Step 5: Solve for x
    x = 16,623,751,460.31/144,577.17
  6. Step 6: Final answer
    x = 114,981.86

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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.