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Finding the Fourth Proportional to 208,082.49, 287,151.79 and 112,587.09

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Solution

The fourth proportional to 208,082.49, 287,151.79 and 112,587.09 is: 155,369.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,082.49 : 287,151.79 = 112,587.09 : x
  2. Step 2: Convert to fraction form
    208,082.49/287,151.79 = 112,587.09/x
  3. Step 3: Cross multiply
    208,082.49x = 287,151.79 × 112,587.09
  4. Step 4: Simplify right side
    208,082.49x = 32,329,584,424.39
  5. Step 5: Solve for x
    x = 32,329,584,424.39/208,082.49
  6. Step 6: Final answer
    x = 155,369.08

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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.