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Finding the Fourth Proportional to 233,424.52, 322,009.49 and 142,622.26

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Solution

The fourth proportional to 233,424.52, 322,009.49 and 142,622.26 is: 196,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,424.52 : 322,009.49 = 142,622.26 : x
  2. Step 2: Convert to fraction form
    233,424.52/322,009.49 = 142,622.26/x
  3. Step 3: Cross multiply
    233,424.52x = 322,009.49 × 142,622.26
  4. Step 4: Simplify right side
    233,424.52x = 45,925,721,205.25
  5. Step 5: Solve for x
    x = 45,925,721,205.25/233,424.52
  6. Step 6: Final answer
    x = 196,747.63

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