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Finding the Fourth Proportional to 197,156, 272,082 and 107,737.76

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Solution

The fourth proportional to 197,156, 272,082 and 107,737.76 is: 148,681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,156 : 272,082 = 107,737.76 : x
  2. Step 2: Convert to fraction form
    197,156/272,082 = 107,737.76/x
  3. Step 3: Cross multiply
    197,156x = 272,082 × 107,737.76
  4. Step 4: Simplify right side
    197,156x = 29,313,505,216.32
  5. Step 5: Solve for x
    x = 29,313,505,216.32/197,156
  6. Step 6: Final answer
    x = 148,681.78

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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.