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Finding the Fourth Proportional to 114,422.34, 171,645.05 and 30,188.33

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Solution

The fourth proportional to 114,422.34, 171,645.05 and 30,188.33 is: 45,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,422.34 : 171,645.05 = 30,188.33 : x
  2. Step 2: Convert to fraction form
    114,422.34/171,645.05 = 30,188.33/x
  3. Step 3: Cross multiply
    114,422.34x = 171,645.05 × 30,188.33
  4. Step 4: Simplify right side
    114,422.34x = 5,181,676,403.10
  5. Step 5: Solve for x
    x = 5,181,676,403.10/114,422.34
  6. Step 6: Final answer
    x = 45,285.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.