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Finding the Fourth Proportional to 106,233.16, 159,350.13 and 39,672.58

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Solution

The fourth proportional to 106,233.16, 159,350.13 and 39,672.58 is: 59,509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,233.16 : 159,350.13 = 39,672.58 : x
  2. Step 2: Convert to fraction form
    106,233.16/159,350.13 = 39,672.58/x
  3. Step 3: Cross multiply
    106,233.16x = 159,350.13 × 39,672.58
  4. Step 4: Simplify right side
    106,233.16x = 6,321,830,780.44
  5. Step 5: Solve for x
    x = 6,321,830,780.44/106,233.16
  6. Step 6: Final answer
    x = 59,509.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.