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Finding the Fourth Proportional to 233,028.26, 349,300 and 158,154.49

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Solution

The fourth proportional to 233,028.26, 349,300 and 158,154.49 is: 237,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,028.26 : 349,300 = 158,154.49 : x
  2. Step 2: Convert to fraction form
    233,028.26/349,300 = 158,154.49/x
  3. Step 3: Cross multiply
    233,028.26x = 349,300 × 158,154.49
  4. Step 4: Simplify right side
    233,028.26x = 55,243,363,357
  5. Step 5: Solve for x
    x = 55,243,363,357/233,028.26
  6. Step 6: Final answer
    x = 237,067.23

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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.