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Finding the Fourth Proportional to 233,165.98, 321,776.31 and 132,570.46

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Solution

The fourth proportional to 233,165.98, 321,776.31 and 132,570.46 is: 182,951.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,165.98 : 321,776.31 = 132,570.46 : x
  2. Step 2: Convert to fraction form
    233,165.98/321,776.31 = 132,570.46/x
  3. Step 3: Cross multiply
    233,165.98x = 321,776.31 × 132,570.46
  4. Step 4: Simplify right side
    233,165.98x = 42,658,033,433.80
  5. Step 5: Solve for x
    x = 42,658,033,433.80/233,165.98
  6. Step 6: Final answer
    x = 182,951.36

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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.