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Finding the Fourth Proportional to 185,074.56, 255,393.16 and 108,583

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Solution

The fourth proportional to 185,074.56, 255,393.16 and 108,583 is: 149,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,074.56 : 255,393.16 = 108,583 : x
  2. Step 2: Convert to fraction form
    185,074.56/255,393.16 = 108,583/x
  3. Step 3: Cross multiply
    185,074.56x = 255,393.16 × 108,583
  4. Step 4: Simplify right side
    185,074.56x = 27,731,355,492.28
  5. Step 5: Solve for x
    x = 27,731,355,492.28/185,074.56
  6. Step 6: Final answer
    x = 149,838.83

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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.