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Finding the Fourth Proportional to 142,783.80, 213,714.90 and 131,724.60

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Solution

The fourth proportional to 142,783.80, 213,714.90 and 131,724.60 is: 197,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,783.80 : 213,714.90 = 131,724.60 : x
  2. Step 2: Convert to fraction form
    142,783.80/213,714.90 = 131,724.60/x
  3. Step 3: Cross multiply
    142,783.80x = 213,714.90 × 131,724.60
  4. Step 4: Simplify right side
    142,783.80x = 28,151,509,716.54
  5. Step 5: Solve for x
    x = 28,151,509,716.54/142,783.80
  6. Step 6: Final answer
    x = 197,161.79

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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.