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Finding the Fourth Proportional to 152,023.60, 209,791.16 and 84,044.80

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Solution

The fourth proportional to 152,023.60, 209,791.16 and 84,044.80 is: 115,981.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,023.60 : 209,791.16 = 84,044.80 : x
  2. Step 2: Convert to fraction form
    152,023.60/209,791.16 = 84,044.80/x
  3. Step 3: Cross multiply
    152,023.60x = 209,791.16 × 84,044.80
  4. Step 4: Simplify right side
    152,023.60x = 17,631,856,083.97
  5. Step 5: Solve for x
    x = 17,631,856,083.97/152,023.60
  6. Step 6: Final answer
    x = 115,981.05

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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.