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Finding the Fourth Proportional to 133,868.89, 200,675.76 and 45,076.69

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Solution

The fourth proportional to 133,868.89, 200,675.76 and 45,076.69 is: 67,572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,868.89 : 200,675.76 = 45,076.69 : x
  2. Step 2: Convert to fraction form
    133,868.89/200,675.76 = 45,076.69/x
  3. Step 3: Cross multiply
    133,868.89x = 200,675.76 × 45,076.69
  4. Step 4: Simplify right side
    133,868.89x = 9,045,799,024.03
  5. Step 5: Solve for x
    x = 9,045,799,024.03/133,868.89
  6. Step 6: Final answer
    x = 67,572.08

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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.