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Finding the Fourth Proportional to 233,820.78, 322,653.15 and 131,871.30

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Solution

The fourth proportional to 233,820.78, 322,653.15 and 131,871.30 is: 181,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,820.78 : 322,653.15 = 131,871.30 : x
  2. Step 2: Convert to fraction form
    233,820.78/322,653.15 = 131,871.30/x
  3. Step 3: Cross multiply
    233,820.78x = 322,653.15 × 131,871.30
  4. Step 4: Simplify right side
    233,820.78x = 42,548,690,339.60
  5. Step 5: Solve for x
    x = 42,548,690,339.60/233,820.78
  6. Step 6: Final answer
    x = 181,971.38

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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.