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Finding the Fourth Proportional to 180,544.71, 270,795.16 and 91,861.86

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Solution

The fourth proportional to 180,544.71, 270,795.16 and 91,861.86 is: 137,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,544.71 : 270,795.16 = 91,861.86 : x
  2. Step 2: Convert to fraction form
    180,544.71/270,795.16 = 91,861.86/x
  3. Step 3: Cross multiply
    180,544.71x = 270,795.16 × 91,861.86
  4. Step 4: Simplify right side
    180,544.71x = 24,875,747,076.60
  5. Step 5: Solve for x
    x = 24,875,747,076.60/180,544.71
  6. Step 6: Final answer
    x = 137,781.64

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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.