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Finding the Fourth Proportional to 233,203.89, 321,865.43 and 146,029.47

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Solution

The fourth proportional to 233,203.89, 321,865.43 and 146,029.47 is: 201,548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,203.89 : 321,865.43 = 146,029.47 : x
  2. Step 2: Convert to fraction form
    233,203.89/321,865.43 = 146,029.47/x
  3. Step 3: Cross multiply
    233,203.89x = 321,865.43 × 146,029.47
  4. Step 4: Simplify right side
    233,203.89x = 47,001,838,154.22
  5. Step 5: Solve for x
    x = 47,001,838,154.22/233,203.89
  6. Step 6: Final answer
    x = 201,548.26

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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.