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Finding the Fourth Proportional to 133,827, 200,818.26 and 59,955

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Solution

The fourth proportional to 133,827, 200,818.26 and 59,955 is: 89,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,827 : 200,818.26 = 59,955 : x
  2. Step 2: Convert to fraction form
    133,827/200,818.26 = 59,955/x
  3. Step 3: Cross multiply
    133,827x = 200,818.26 × 59,955
  4. Step 4: Simplify right side
    133,827x = 12,040,058,778.30
  5. Step 5: Solve for x
    x = 12,040,058,778.30/133,827
  6. Step 6: Final answer
    x = 89,967.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.