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Finding the Fourth Proportional to 142,507.92, 213,745.47 and 37,335.09

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Solution

The fourth proportional to 142,507.92, 213,745.47 and 37,335.09 is: 55,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,507.92 : 213,745.47 = 37,335.09 : x
  2. Step 2: Convert to fraction form
    142,507.92/213,745.47 = 37,335.09/x
  3. Step 3: Cross multiply
    142,507.92x = 213,745.47 × 37,335.09
  4. Step 4: Simplify right side
    142,507.92x = 7,980,206,359.54
  5. Step 5: Solve for x
    x = 7,980,206,359.54/142,507.92
  6. Step 6: Final answer
    x = 55,998.34

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1.5x scale

Why These Related Problems?

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