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Finding the Fourth Proportional to 199,508.94, 275,284.62 and 118,943.91

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Solution

The fourth proportional to 199,508.94, 275,284.62 and 118,943.91 is: 164,120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,508.94 : 275,284.62 = 118,943.91 : x
  2. Step 2: Convert to fraction form
    199,508.94/275,284.62 = 118,943.91/x
  3. Step 3: Cross multiply
    199,508.94x = 275,284.62 × 118,943.91
  4. Step 4: Simplify right side
    199,508.94x = 32,743,429,065.66
  5. Step 5: Solve for x
    x = 32,743,429,065.66/199,508.94
  6. Step 6: Final answer
    x = 164,120.11

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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.