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Finding the Fourth Proportional to 180,891.10, 272,978.15 and 174,861.24

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Solution

The fourth proportional to 180,891.10, 272,978.15 and 174,861.24 is: 263,878.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,891.10 : 272,978.15 = 174,861.24 : x
  2. Step 2: Convert to fraction form
    180,891.10/272,978.15 = 174,861.24/x
  3. Step 3: Cross multiply
    180,891.10x = 272,978.15 × 174,861.24
  4. Step 4: Simplify right side
    180,891.10x = 47,733,298,806.90
  5. Step 5: Solve for x
    x = 47,733,298,806.90/180,891.10
  6. Step 6: Final answer
    x = 263,878.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.