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Finding the Fourth Proportional to 232,990.53, 321,139.38 and 164,920.15

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Solution

The fourth proportional to 232,990.53, 321,139.38 and 164,920.15 is: 227,315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,990.53 : 321,139.38 = 164,920.15 : x
  2. Step 2: Convert to fraction form
    232,990.53/321,139.38 = 164,920.15/x
  3. Step 3: Cross multiply
    232,990.53x = 321,139.38 × 164,920.15
  4. Step 4: Simplify right side
    232,990.53x = 52,962,355,740.38
  5. Step 5: Solve for x
    x = 52,962,355,740.38/232,990.53
  6. Step 6: Final answer
    x = 227,315.49

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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.