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Finding the Fourth Proportional to 233,450.40, 322,148.34 and 137,965.98

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Solution

The fourth proportional to 233,450.40, 322,148.34 and 137,965.98 is: 190,385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,450.40 : 322,148.34 = 137,965.98 : x
  2. Step 2: Convert to fraction form
    233,450.40/322,148.34 = 137,965.98/x
  3. Step 3: Cross multiply
    233,450.40x = 322,148.34 × 137,965.98
  4. Step 4: Simplify right side
    233,450.40x = 44,445,511,433.47
  5. Step 5: Solve for x
    x = 44,445,511,433.47/233,450.40
  6. Step 6: Final answer
    x = 190,385.24

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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.