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Finding the Fourth Proportional to 152,034.36, 209,789.20 and 84,042.16

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Solution

The fourth proportional to 152,034.36, 209,789.20 and 84,042.16 is: 115,968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,034.36 : 209,789.20 = 84,042.16 : x
  2. Step 2: Convert to fraction form
    152,034.36/209,789.20 = 84,042.16/x
  3. Step 3: Cross multiply
    152,034.36x = 209,789.20 × 84,042.16
  4. Step 4: Simplify right side
    152,034.36x = 17,631,137,512.67
  5. Step 5: Solve for x
    x = 17,631,137,512.67/152,034.36
  6. Step 6: Final answer
    x = 115,968.11

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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.