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Finding the Fourth Proportional to 152,077.56, 209,862.87 and 84,092.21

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Solution

The fourth proportional to 152,077.56, 209,862.87 and 84,092.21 is: 116,044.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,077.56 : 209,862.87 = 84,092.21 : x
  2. Step 2: Convert to fraction form
    152,077.56/209,862.87 = 84,092.21/x
  3. Step 3: Cross multiply
    152,077.56x = 209,862.87 × 84,092.21
  4. Step 4: Simplify right side
    152,077.56x = 17,647,833,352.32
  5. Step 5: Solve for x
    x = 17,647,833,352.32/152,077.56
  6. Step 6: Final answer
    x = 116,044.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.