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Finding the Fourth Proportional to 233,486.42, 349,901.10 and 133,496.78

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Solution

The fourth proportional to 233,486.42, 349,901.10 and 133,496.78 is: 200,057.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,486.42 : 349,901.10 = 133,496.78 : x
  2. Step 2: Convert to fraction form
    233,486.42/349,901.10 = 133,496.78/x
  3. Step 3: Cross multiply
    233,486.42x = 349,901.10 × 133,496.78
  4. Step 4: Simplify right side
    233,486.42x = 46,710,668,418.95
  5. Step 5: Solve for x
    x = 46,710,668,418.95/233,486.42
  6. Step 6: Final answer
    x = 200,057.33

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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.