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Finding the Fourth Proportional to 198,572.51, 274,032.16 and 107,928.48

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Solution

The fourth proportional to 198,572.51, 274,032.16 and 107,928.48 is: 148,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,572.51 : 274,032.16 = 107,928.48 : x
  2. Step 2: Convert to fraction form
    198,572.51/274,032.16 = 107,928.48/x
  3. Step 3: Cross multiply
    198,572.51x = 274,032.16 × 107,928.48
  4. Step 4: Simplify right side
    198,572.51x = 29,575,874,499.92
  5. Step 5: Solve for x
    x = 29,575,874,499.92/198,572.51
  6. Step 6: Final answer
    x = 148,942.45

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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.