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Finding the Fourth Proportional to 232,753.68, 321,322.32 and 156,673.20

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Solution

The fourth proportional to 232,753.68, 321,322.32 and 156,673.20 is: 216,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,753.68 : 321,322.32 = 156,673.20 : x
  2. Step 2: Convert to fraction form
    232,753.68/321,322.32 = 156,673.20/x
  3. Step 3: Cross multiply
    232,753.68x = 321,322.32 × 156,673.20
  4. Step 4: Simplify right side
    232,753.68x = 50,342,596,105.82
  5. Step 5: Solve for x
    x = 50,342,596,105.82/232,753.68
  6. Step 6: Final answer
    x = 216,291.30

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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.