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Finding the Fourth Proportional to 151,677.39, 209,314.56 and 83,694.31

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Solution

The fourth proportional to 151,677.39, 209,314.56 and 83,694.31 is: 115,498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,677.39 : 209,314.56 = 83,694.31 : x
  2. Step 2: Convert to fraction form
    151,677.39/209,314.56 = 83,694.31/x
  3. Step 3: Cross multiply
    151,677.39x = 209,314.56 × 83,694.31
  4. Step 4: Simplify right side
    151,677.39x = 17,518,437,933.94
  5. Step 5: Solve for x
    x = 17,518,437,933.94/151,677.39
  6. Step 6: Final answer
    x = 115,498.02

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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.