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Finding the Fourth Proportional to 198,558.46, 274,050.53 and 117,970.47

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Solution

The fourth proportional to 198,558.46, 274,050.53 and 117,970.47 is: 162,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,558.46 : 274,050.53 = 117,970.47 : x
  2. Step 2: Convert to fraction form
    198,558.46/274,050.53 = 117,970.47/x
  3. Step 3: Cross multiply
    198,558.46x = 274,050.53 × 117,970.47
  4. Step 4: Simplify right side
    198,558.46x = 32,329,869,680.39
  5. Step 5: Solve for x
    x = 32,329,869,680.39/198,558.46
  6. Step 6: Final answer
    x = 162,822.93

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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.