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Finding the Fourth Proportional to 198,917.82, 274,482.24 and 118,348.74

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Solution

The fourth proportional to 198,917.82, 274,482.24 and 118,348.74 is: 163,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,917.82 : 274,482.24 = 118,348.74 : x
  2. Step 2: Convert to fraction form
    198,917.82/274,482.24 = 118,348.74/x
  3. Step 3: Cross multiply
    198,917.82x = 274,482.24 × 118,348.74
  4. Step 4: Simplify right side
    198,917.82x = 32,484,627,256.38
  5. Step 5: Solve for x
    x = 32,484,627,256.38/198,917.82
  6. Step 6: Final answer
    x = 163,306.77

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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.