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Finding the Fourth Proportional to 199,777.34, 275,701.12 and 114,894.48

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Solution

The fourth proportional to 199,777.34, 275,701.12 and 114,894.48 is: 158,559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,777.34 : 275,701.12 = 114,894.48 : x
  2. Step 2: Convert to fraction form
    199,777.34/275,701.12 = 114,894.48/x
  3. Step 3: Cross multiply
    199,777.34x = 275,701.12 × 114,894.48
  4. Step 4: Simplify right side
    199,777.34x = 31,676,536,817.82
  5. Step 5: Solve for x
    x = 31,676,536,817.82/199,777.34
  6. Step 6: Final answer
    x = 158,559.21

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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.