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Finding the Fourth Proportional to 233,852.64, 322,693.97 and 131,893.98

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Solution

The fourth proportional to 233,852.64, 322,693.97 and 131,893.98 is: 182,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,852.64 : 322,693.97 = 131,893.98 : x
  2. Step 2: Convert to fraction form
    233,852.64/322,693.97 = 131,893.98/x
  3. Step 3: Cross multiply
    233,852.64x = 322,693.97 × 131,893.98
  4. Step 4: Simplify right side
    233,852.64x = 42,561,391,365.83
  5. Step 5: Solve for x
    x = 42,561,391,365.83/233,852.64
  6. Step 6: Final answer
    x = 182,000.90

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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.