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Finding the Fourth Proportional to 182,396.32, 251,711.04 and 114,416.16

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Solution

The fourth proportional to 182,396.32, 251,711.04 and 114,416.16 is: 157,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,396.32 : 251,711.04 = 114,416.16 : x
  2. Step 2: Convert to fraction form
    182,396.32/251,711.04 = 114,416.16/x
  3. Step 3: Cross multiply
    182,396.32x = 251,711.04 × 114,416.16
  4. Step 4: Simplify right side
    182,396.32x = 28,799,810,626.41
  5. Step 5: Solve for x
    x = 28,799,810,626.41/182,396.32
  6. Step 6: Final answer
    x = 157,896.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.