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Finding the Fourth Proportional to 147,090.96, 202,993.36 and 83,449.20

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Solution

The fourth proportional to 147,090.96, 202,993.36 and 83,449.20 is: 115,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,090.96 : 202,993.36 = 83,449.20 : x
  2. Step 2: Convert to fraction form
    147,090.96/202,993.36 = 83,449.20/x
  3. Step 3: Cross multiply
    147,090.96x = 202,993.36 × 83,449.20
  4. Step 4: Simplify right side
    147,090.96x = 16,939,633,497.31
  5. Step 5: Solve for x
    x = 16,939,633,497.31/147,090.96
  6. Step 6: Final answer
    x = 115,164.34

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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.