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Finding the Fourth Proportional to 232,595.76, 321,024.04 and 137,096.88

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Solution

The fourth proportional to 232,595.76, 321,024.04 and 137,096.88 is: 189,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,595.76 : 321,024.04 = 137,096.88 : x
  2. Step 2: Convert to fraction form
    232,595.76/321,024.04 = 137,096.88/x
  3. Step 3: Cross multiply
    232,595.76x = 321,024.04 × 137,096.88
  4. Step 4: Simplify right side
    232,595.76x = 44,011,394,289.00
  5. Step 5: Solve for x
    x = 44,011,394,289.00/232,595.76
  6. Step 6: Final answer
    x = 189,218.39

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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.