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Finding the Fourth Proportional to 208,344.36, 287,326.24 and 136,697.16

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Solution

The fourth proportional to 208,344.36, 287,326.24 and 136,697.16 is: 188,518.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,344.36 : 287,326.24 = 136,697.16 : x
  2. Step 2: Convert to fraction form
    208,344.36/287,326.24 = 136,697.16/x
  3. Step 3: Cross multiply
    208,344.36x = 287,326.24 × 136,697.16
  4. Step 4: Simplify right side
    208,344.36x = 39,276,681,001.48
  5. Step 5: Solve for x
    x = 39,276,681,001.48/208,344.36
  6. Step 6: Final answer
    x = 188,518.09

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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.