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Finding the Fourth Proportional to 199,577.52, 275,410.14 and 118,963.50

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Solution

The fourth proportional to 199,577.52, 275,410.14 and 118,963.50 is: 164,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,577.52 : 275,410.14 = 118,963.50 : x
  2. Step 2: Convert to fraction form
    199,577.52/275,410.14 = 118,963.50/x
  3. Step 3: Cross multiply
    199,577.52x = 275,410.14 × 118,963.50
  4. Step 4: Simplify right side
    199,577.52x = 32,763,754,189.89
  5. Step 5: Solve for x
    x = 32,763,754,189.89/199,577.52
  6. Step 6: Final answer
    x = 164,165.55

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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.