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Finding the Fourth Proportional to 233,622.77, 350,434.15 and 133,713.32

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Solution

The fourth proportional to 233,622.77, 350,434.15 and 133,713.32 is: 200,569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,622.77 : 350,434.15 = 133,713.32 : x
  2. Step 2: Convert to fraction form
    233,622.77/350,434.15 = 133,713.32/x
  3. Step 3: Cross multiply
    233,622.77x = 350,434.15 × 133,713.32
  4. Step 4: Simplify right side
    233,622.77x = 46,857,711,551.42
  5. Step 5: Solve for x
    x = 46,857,711,551.42/233,622.77
  6. Step 6: Final answer
    x = 200,569.97

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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.