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Finding the Fourth Proportional to 133,166.53, 199,792.33 and 47,719.68

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Solution

The fourth proportional to 133,166.53, 199,792.33 and 47,719.68 is: 71,594.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,166.53 : 199,792.33 = 47,719.68 : x
  2. Step 2: Convert to fraction form
    133,166.53/199,792.33 = 47,719.68/x
  3. Step 3: Cross multiply
    133,166.53x = 199,792.33 × 47,719.68
  4. Step 4: Simplify right side
    133,166.53x = 9,534,026,054.05
  5. Step 5: Solve for x
    x = 9,534,026,054.05/133,166.53
  6. Step 6: Final answer
    x = 71,594.76

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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.