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Finding the Fourth Proportional to 198,571.57, 274,030.59 and 107,927.74

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Solution

The fourth proportional to 198,571.57, 274,030.59 and 107,927.74 is: 148,941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,571.57 : 274,030.59 = 107,927.74 : x
  2. Step 2: Convert to fraction form
    198,571.57/274,030.59 = 107,927.74/x
  3. Step 3: Cross multiply
    198,571.57x = 274,030.59 × 107,927.74
  4. Step 4: Simplify right side
    198,571.57x = 29,575,502,269.57
  5. Step 5: Solve for x
    x = 29,575,502,269.57/198,571.57
  6. Step 6: Final answer
    x = 148,941.27

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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.