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Finding the Fourth Proportional to 232,978.76, 321,509.04 and 132,376.76

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Solution

The fourth proportional to 232,978.76, 321,509.04 and 132,376.76 is: 182,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,978.76 : 321,509.04 = 132,376.76 : x
  2. Step 2: Convert to fraction form
    232,978.76/321,509.04 = 132,376.76/x
  3. Step 3: Cross multiply
    232,978.76x = 321,509.04 × 132,376.76
  4. Step 4: Simplify right side
    232,978.76x = 42,560,325,025.91
  5. Step 5: Solve for x
    x = 42,560,325,025.91/232,978.76
  6. Step 6: Final answer
    x = 182,678.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.