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Finding the Fourth Proportional to 106,345.24, 159,699.84 and 71,033.50

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Solution

The fourth proportional to 106,345.24, 159,699.84 and 71,033.50 is: 106,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,345.24 : 159,699.84 = 71,033.50 : x
  2. Step 2: Convert to fraction form
    106,345.24/159,699.84 = 71,033.50/x
  3. Step 3: Cross multiply
    106,345.24x = 159,699.84 × 71,033.50
  4. Step 4: Simplify right side
    106,345.24x = 11,344,038,584.64
  5. Step 5: Solve for x
    x = 11,344,038,584.64/106,345.24
  6. Step 6: Final answer
    x = 106,671.80

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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.