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Finding the Fourth Proportional to 142,673.31, 214,026.37 and 83,509.49

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Solution

The fourth proportional to 142,673.31, 214,026.37 and 83,509.49 is: 125,273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,673.31 : 214,026.37 = 83,509.49 : x
  2. Step 2: Convert to fraction form
    142,673.31/214,026.37 = 83,509.49/x
  3. Step 3: Cross multiply
    142,673.31x = 214,026.37 × 83,509.49
  4. Step 4: Simplify right side
    142,673.31x = 17,873,233,331.54
  5. Step 5: Solve for x
    x = 17,873,233,331.54/142,673.31
  6. Step 6: Final answer
    x = 125,273.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.