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Finding the Fourth Proportional to 233,418.43, 349,566.33 and 133,275.09

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Solution

The fourth proportional to 233,418.43, 349,566.33 and 133,275.09 is: 199,592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,418.43 : 349,566.33 = 133,275.09 : x
  2. Step 2: Convert to fraction form
    233,418.43/349,566.33 = 133,275.09/x
  3. Step 3: Cross multiply
    233,418.43x = 349,566.33 × 133,275.09
  4. Step 4: Simplify right side
    233,418.43x = 46,588,484,091.72
  5. Step 5: Solve for x
    x = 46,588,484,091.72/233,418.43
  6. Step 6: Final answer
    x = 199,592.14

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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.