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Finding the Fourth Proportional to 180,333.66, 270,518.53 and 61,989.42

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Solution

The fourth proportional to 180,333.66, 270,518.53 and 61,989.42 is: 92,990.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,333.66 : 270,518.53 = 61,989.42 : x
  2. Step 2: Convert to fraction form
    180,333.66/270,518.53 = 61,989.42/x
  3. Step 3: Cross multiply
    180,333.66x = 270,518.53 × 61,989.42
  4. Step 4: Simplify right side
    180,333.66x = 16,769,286,773.95
  5. Step 5: Solve for x
    x = 16,769,286,773.95/180,333.66
  6. Step 6: Final answer
    x = 92,990.33

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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.