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Finding the Fourth Proportional to 197,702.49, 272,895.98 and 120,177.87

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Solution

The fourth proportional to 197,702.49, 272,895.98 and 120,177.87 is: 165,885.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,702.49 : 272,895.98 = 120,177.87 : x
  2. Step 2: Convert to fraction form
    197,702.49/272,895.98 = 120,177.87/x
  3. Step 3: Cross multiply
    197,702.49x = 272,895.98 × 120,177.87
  4. Step 4: Simplify right side
    197,702.49x = 32,796,057,007.07
  5. Step 5: Solve for x
    x = 32,796,057,007.07/197,702.49
  6. Step 6: Final answer
    x = 165,885.91

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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.