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Finding the Fourth Proportional to 140,058.81, 193,302.80 and 82,704.27

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Solution

The fourth proportional to 140,058.81, 193,302.80 and 82,704.27 is: 114,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,058.81 : 193,302.80 = 82,704.27 : x
  2. Step 2: Convert to fraction form
    140,058.81/193,302.80 = 82,704.27/x
  3. Step 3: Cross multiply
    140,058.81x = 193,302.80 × 82,704.27
  4. Step 4: Simplify right side
    140,058.81x = 15,986,966,549.43
  5. Step 5: Solve for x
    x = 15,986,966,549.43/140,058.81
  6. Step 6: Final answer
    x = 114,144.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.