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Finding the Fourth Proportional to 106,153.26, 159,211.80 and 100,297.50

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Solution

The fourth proportional to 106,153.26, 159,211.80 and 100,297.50 is: 150,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,153.26 : 159,211.80 = 100,297.50 : x
  2. Step 2: Convert to fraction form
    106,153.26/159,211.80 = 100,297.50/x
  3. Step 3: Cross multiply
    106,153.26x = 159,211.80 × 100,297.50
  4. Step 4: Simplify right side
    106,153.26x = 15,968,545,510.50
  5. Step 5: Solve for x
    x = 15,968,545,510.50/106,153.26
  6. Step 6: Final answer
    x = 150,429.16

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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.