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Finding the Fourth Proportional to 208,477.35, 287,839.97 and 132,064.26

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Solution

The fourth proportional to 208,477.35, 287,839.97 and 132,064.26 is: 182,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,477.35 : 287,839.97 = 132,064.26 : x
  2. Step 2: Convert to fraction form
    208,477.35/287,839.97 = 132,064.26/x
  3. Step 3: Cross multiply
    208,477.35x = 287,839.97 × 132,064.26
  4. Step 4: Simplify right side
    208,477.35x = 38,013,371,197.27
  5. Step 5: Solve for x
    x = 38,013,371,197.27/208,477.35
  6. Step 6: Final answer
    x = 182,338.14

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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.