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Finding the Fourth Proportional to 147,052.92, 202,969.08 and 83,427.96

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Solution

The fourth proportional to 147,052.92, 202,969.08 and 83,427.96 is: 115,151.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,052.92 : 202,969.08 = 83,427.96 : x
  2. Step 2: Convert to fraction form
    147,052.92/202,969.08 = 83,427.96/x
  3. Step 3: Cross multiply
    147,052.92x = 202,969.08 × 83,427.96
  4. Step 4: Simplify right side
    147,052.92x = 16,933,296,287.48
  5. Step 5: Solve for x
    x = 16,933,296,287.48/147,052.92
  6. Step 6: Final answer
    x = 115,151.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.