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Finding the Fourth Proportional to 132,293.13, 182,494.53 and 83,809.53

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Solution

The fourth proportional to 132,293.13, 182,494.53 and 83,809.53 is: 115,612.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,293.13 : 182,494.53 = 83,809.53 : x
  2. Step 2: Convert to fraction form
    132,293.13/182,494.53 = 83,809.53/x
  3. Step 3: Cross multiply
    132,293.13x = 182,494.53 × 83,809.53
  4. Step 4: Simplify right side
    132,293.13x = 15,294,780,786.87
  5. Step 5: Solve for x
    x = 15,294,780,786.87/132,293.13
  6. Step 6: Final answer
    x = 115,612.81

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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.