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Finding the Fourth Proportional to 143,129.38, 214,367.07 and 68,302.07

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Solution

The fourth proportional to 143,129.38, 214,367.07 and 68,302.07 is: 102,297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,129.38 : 214,367.07 = 68,302.07 : x
  2. Step 2: Convert to fraction form
    143,129.38/214,367.07 = 68,302.07/x
  3. Step 3: Cross multiply
    143,129.38x = 214,367.07 × 68,302.07
  4. Step 4: Simplify right side
    143,129.38x = 14,641,714,032.71
  5. Step 5: Solve for x
    x = 14,641,714,032.71/143,129.38
  6. Step 6: Final answer
    x = 102,297.06

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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.