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Finding the Fourth Proportional to 133,812.14, 200,738.93 and 45,058.55

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Solution

The fourth proportional to 133,812.14, 200,738.93 and 45,058.55 is: 67,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,812.14 : 200,738.93 = 45,058.55 : x
  2. Step 2: Convert to fraction form
    133,812.14/200,738.93 = 45,058.55/x
  3. Step 3: Cross multiply
    133,812.14x = 200,738.93 × 45,058.55
  4. Step 4: Simplify right side
    133,812.14x = 9,045,003,885.36
  5. Step 5: Solve for x
    x = 9,045,003,885.36/133,812.14
  6. Step 6: Final answer
    x = 67,594.80

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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.