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Finding the Fourth Proportional to 208,203.69, 287,321.02 and 112,710.31

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Solution

The fourth proportional to 208,203.69, 287,321.02 and 112,710.31 is: 155,540.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,203.69 : 287,321.02 = 112,710.31 : x
  2. Step 2: Convert to fraction form
    208,203.69/287,321.02 = 112,710.31/x
  3. Step 3: Cross multiply
    208,203.69x = 287,321.02 × 112,710.31
  4. Step 4: Simplify right side
    208,203.69x = 32,384,041,233.72
  5. Step 5: Solve for x
    x = 32,384,041,233.72/208,203.69
  6. Step 6: Final answer
    x = 155,540.19

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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.