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Finding the Fourth Proportional to 233,767.91, 322,523.75 and 143,029.28

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Solution

The fourth proportional to 233,767.91, 322,523.75 and 143,029.28 is: 197,333.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,767.91 : 322,523.75 = 143,029.28 : x
  2. Step 2: Convert to fraction form
    233,767.91/322,523.75 = 143,029.28/x
  3. Step 3: Cross multiply
    233,767.91x = 322,523.75 × 143,029.28
  4. Step 4: Simplify right side
    233,767.91x = 46,130,338,132.78
  5. Step 5: Solve for x
    x = 46,130,338,132.78/233,767.91
  6. Step 6: Final answer
    x = 197,333.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.