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Finding the Fourth Proportional to 243,031.80, 335,249.10 and 142,410.36

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Solution

The fourth proportional to 243,031.80, 335,249.10 and 142,410.36 is: 196,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,031.80 : 335,249.10 = 142,410.36 : x
  2. Step 2: Convert to fraction form
    243,031.80/335,249.10 = 142,410.36/x
  3. Step 3: Cross multiply
    243,031.80x = 335,249.10 × 142,410.36
  4. Step 4: Simplify right side
    243,031.80x = 47,742,945,020.68
  5. Step 5: Solve for x
    x = 47,742,945,020.68/243,031.80
  6. Step 6: Final answer
    x = 196,447.32

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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.