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Finding the Fourth Proportional to 208,554, 287,802.81 and 113,058.24

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Solution

The fourth proportional to 208,554, 287,802.81 and 113,058.24 is: 156,019.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,554 : 287,802.81 = 113,058.24 : x
  2. Step 2: Convert to fraction form
    208,554/287,802.81 = 113,058.24/x
  3. Step 3: Cross multiply
    208,554x = 287,802.81 × 113,058.24
  4. Step 4: Simplify right side
    208,554x = 32,538,479,165.65
  5. Step 5: Solve for x
    x = 32,538,479,165.65/208,554
  6. Step 6: Final answer
    x = 156,019.44

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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.