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Finding the Fourth Proportional to 243,029.30, 335,245.65 and 142,407.86

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Solution

The fourth proportional to 243,029.30, 335,245.65 and 142,407.86 is: 196,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,029.30 : 335,245.65 = 142,407.86 : x
  2. Step 2: Convert to fraction form
    243,029.30/335,245.65 = 142,407.86/x
  3. Step 3: Cross multiply
    243,029.30x = 335,245.65 × 142,407.86
  4. Step 4: Simplify right side
    243,029.30x = 47,741,615,590.81
  5. Step 5: Solve for x
    x = 47,741,615,590.81/243,029.30
  6. Step 6: Final answer
    x = 196,443.87

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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.