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Finding the Fourth Proportional to 133,823, 200,812.26 and 59,951

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Solution

The fourth proportional to 133,823, 200,812.26 and 59,951 is: 89,961.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,823 : 200,812.26 = 59,951 : x
  2. Step 2: Convert to fraction form
    133,823/200,812.26 = 59,951/x
  3. Step 3: Cross multiply
    133,823x = 200,812.26 × 59,951
  4. Step 4: Simplify right side
    133,823x = 12,038,895,799.26
  5. Step 5: Solve for x
    x = 12,038,895,799.26/133,823
  6. Step 6: Final answer
    x = 89,961.34

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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.