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Finding the Fourth Proportional to 143,286, 214,633.59 and 83,941.76

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Solution

The fourth proportional to 143,286, 214,633.59 and 83,941.76 is: 125,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,286 : 214,633.59 = 83,941.76 : x
  2. Step 2: Convert to fraction form
    143,286/214,633.59 = 83,941.76/x
  3. Step 3: Cross multiply
    143,286x = 214,633.59 × 83,941.76
  4. Step 4: Simplify right side
    143,286x = 18,016,720,541.33
  5. Step 5: Solve for x
    x = 18,016,720,541.33/143,286
  6. Step 6: Final answer
    x = 125,739.57

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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.