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Finding the Fourth Proportional to 198,415.84, 273,818.68 and 113,560.24

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Solution

The fourth proportional to 198,415.84, 273,818.68 and 113,560.24 is: 156,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,415.84 : 273,818.68 = 113,560.24 : x
  2. Step 2: Convert to fraction form
    198,415.84/273,818.68 = 113,560.24/x
  3. Step 3: Cross multiply
    198,415.84x = 273,818.68 × 113,560.24
  4. Step 4: Simplify right side
    198,415.84x = 31,094,915,017.28
  5. Step 5: Solve for x
    x = 31,094,915,017.28/198,415.84
  6. Step 6: Final answer
    x = 156,715.89

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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.