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Finding the Fourth Proportional to 198,574.32, 274,027.68 and 113,684.16

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Solution

The fourth proportional to 198,574.32, 274,027.68 and 113,684.16 is: 156,881.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,574.32 : 274,027.68 = 113,684.16 : x
  2. Step 2: Convert to fraction form
    198,574.32/274,027.68 = 113,684.16/x
  3. Step 3: Cross multiply
    198,574.32x = 274,027.68 × 113,684.16
  4. Step 4: Simplify right side
    198,574.32x = 31,152,606,617.55
  5. Step 5: Solve for x
    x = 31,152,606,617.55/198,574.32
  6. Step 6: Final answer
    x = 156,881.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.