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Finding the Fourth Proportional to 106,386.40, 159,637.20 and 47,231.20

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Solution

The fourth proportional to 106,386.40, 159,637.20 and 47,231.20 is: 70,872.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,386.40 : 159,637.20 = 47,231.20 : x
  2. Step 2: Convert to fraction form
    106,386.40/159,637.20 = 47,231.20/x
  3. Step 3: Cross multiply
    106,386.40x = 159,637.20 × 47,231.20
  4. Step 4: Simplify right side
    106,386.40x = 7,539,856,520.64
  5. Step 5: Solve for x
    x = 7,539,856,520.64/106,386.40
  6. Step 6: Final answer
    x = 70,872.37

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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.