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Finding the Fourth Proportional to 199,042, 274,686.84 and 117,373.56

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Solution

The fourth proportional to 199,042, 274,686.84 and 117,373.56 is: 161,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,042 : 274,686.84 = 117,373.56 : x
  2. Step 2: Convert to fraction form
    199,042/274,686.84 = 117,373.56/x
  3. Step 3: Cross multiply
    199,042x = 274,686.84 × 117,373.56
  4. Step 4: Simplify right side
    199,042x = 32,240,972,295.95
  5. Step 5: Solve for x
    x = 32,240,972,295.95/199,042
  6. Step 6: Final answer
    x = 161,980.75

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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.