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Finding the Fourth Proportional to 198,140, 273,433.17 and 113,258.89

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Solution

The fourth proportional to 198,140, 273,433.17 and 113,258.89 is: 156,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,140 : 273,433.17 = 113,258.89 : x
  2. Step 2: Convert to fraction form
    198,140/273,433.17 = 113,258.89/x
  3. Step 3: Cross multiply
    198,140x = 273,433.17 × 113,258.89
  4. Step 4: Simplify right side
    198,140x = 30,968,737,323.38
  5. Step 5: Solve for x
    x = 30,968,737,323.38/198,140
  6. Step 6: Final answer
    x = 156,297.25

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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.