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Finding the Fourth Proportional to 233,896.80, 350,341.92 and 133,776

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Solution

The fourth proportional to 233,896.80, 350,341.92 and 133,776 is: 200,376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,896.80 : 350,341.92 = 133,776 : x
  2. Step 2: Convert to fraction form
    233,896.80/350,341.92 = 133,776/x
  3. Step 3: Cross multiply
    233,896.80x = 350,341.92 × 133,776
  4. Step 4: Simplify right side
    233,896.80x = 46,867,340,689.92
  5. Step 5: Solve for x
    x = 46,867,340,689.92/233,896.80
  6. Step 6: Final answer
    x = 200,376.15

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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.