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Finding the Fourth Proportional to 151,520.96, 209,108.31 and 83,537.80

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Solution

The fourth proportional to 151,520.96, 209,108.31 and 83,537.80 is: 115,287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,520.96 : 209,108.31 = 83,537.80 : x
  2. Step 2: Convert to fraction form
    151,520.96/209,108.31 = 83,537.80/x
  3. Step 3: Cross multiply
    151,520.96x = 209,108.31 × 83,537.80
  4. Step 4: Simplify right side
    151,520.96x = 17,468,448,127.24
  5. Step 5: Solve for x
    x = 17,468,448,127.24/151,520.96
  6. Step 6: Final answer
    x = 115,287.34

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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.