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Finding the Fourth Proportional to 181,314.42, 271,971.34 and 48,194.68

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Solution

The fourth proportional to 181,314.42, 271,971.34 and 48,194.68 is: 72,291.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,314.42 : 271,971.34 = 48,194.68 : x
  2. Step 2: Convert to fraction form
    181,314.42/271,971.34 = 48,194.68/x
  3. Step 3: Cross multiply
    181,314.42x = 271,971.34 × 48,194.68
  4. Step 4: Simplify right side
    181,314.42x = 13,107,571,700.47
  5. Step 5: Solve for x
    x = 13,107,571,700.47/181,314.42
  6. Step 6: Final answer
    x = 72,291.94

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1.5x scale

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.