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Finding the Fourth Proportional to 208,240.65, 287,351.69 and 123,341.31

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Solution

The fourth proportional to 208,240.65, 287,351.69 and 123,341.31 is: 170,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,240.65 : 287,351.69 = 123,341.31 : x
  2. Step 2: Convert to fraction form
    208,240.65/287,351.69 = 123,341.31/x
  3. Step 3: Cross multiply
    208,240.65x = 287,351.69 × 123,341.31
  4. Step 4: Simplify right side
    208,240.65x = 35,442,333,258.61
  5. Step 5: Solve for x
    x = 35,442,333,258.61/208,240.65
  6. Step 6: Final answer
    x = 170,198.92

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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.