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Finding the Fourth Proportional to 233,162.92, 350,094.30 and 133,435.72

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Solution

The fourth proportional to 233,162.92, 350,094.30 and 133,435.72 is: 200,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,162.92 : 350,094.30 = 133,435.72 : x
  2. Step 2: Convert to fraction form
    233,162.92/350,094.30 = 133,435.72/x
  3. Step 3: Cross multiply
    233,162.92x = 350,094.30 × 133,435.72
  4. Step 4: Simplify right side
    233,162.92x = 46,715,084,988.40
  5. Step 5: Solve for x
    x = 46,715,084,988.40/233,162.92
  6. Step 6: Final answer
    x = 200,353.83

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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.