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Finding the Fourth Proportional to 233,009.39, 349,864 and 133,282.19

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Solution

The fourth proportional to 233,009.39, 349,864 and 133,282.19 is: 200,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,009.39 : 349,864 = 133,282.19 : x
  2. Step 2: Convert to fraction form
    233,009.39/349,864 = 133,282.19/x
  3. Step 3: Cross multiply
    233,009.39x = 349,864 × 133,282.19
  4. Step 4: Simplify right side
    233,009.39x = 46,630,640,122.16
  5. Step 5: Solve for x
    x = 46,630,640,122.16/233,009.39
  6. Step 6: Final answer
    x = 200,123.44

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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.