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Finding the Fourth Proportional to 208,082.24, 287,151.45 and 112,586.84

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Solution

The fourth proportional to 208,082.24, 287,151.45 and 112,586.84 is: 155,368.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,082.24 : 287,151.45 = 112,586.84 : x
  2. Step 2: Convert to fraction form
    208,082.24/287,151.45 = 112,586.84/x
  3. Step 3: Cross multiply
    208,082.24x = 287,151.45 × 112,586.84
  4. Step 4: Simplify right side
    208,082.24x = 32,329,474,356.92
  5. Step 5: Solve for x
    x = 32,329,474,356.92/208,082.24
  6. Step 6: Final answer
    x = 155,368.73

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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.