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Finding the Fourth Proportional to 233,502.21, 322,257.33 and 142,918.56

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Solution

The fourth proportional to 233,502.21, 322,257.33 and 142,918.56 is: 197,242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,502.21 : 322,257.33 = 142,918.56 : x
  2. Step 2: Convert to fraction form
    233,502.21/322,257.33 = 142,918.56/x
  3. Step 3: Cross multiply
    233,502.21x = 322,257.33 × 142,918.56
  4. Step 4: Simplify right side
    233,502.21x = 46,056,553,553.04
  5. Step 5: Solve for x
    x = 46,056,553,553.04/233,502.21
  6. Step 6: Final answer
    x = 197,242.47

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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.