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Finding the Fourth Proportional to 133,076.19, 199,647.03 and 39,581.94

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Solution

The fourth proportional to 133,076.19, 199,647.03 and 39,581.94 is: 59,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,076.19 : 199,647.03 = 39,581.94 : x
  2. Step 2: Convert to fraction form
    133,076.19/199,647.03 = 39,581.94/x
  3. Step 3: Cross multiply
    133,076.19x = 199,647.03 × 39,581.94
  4. Step 4: Simplify right side
    133,076.19x = 7,902,416,762.64
  5. Step 5: Solve for x
    x = 7,902,416,762.64/133,076.19
  6. Step 6: Final answer
    x = 59,382.65

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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.