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Finding the Fourth Proportional to 543,107.08, 814,466.22 and 188,025.76

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Solution

The fourth proportional to 543,107.08, 814,466.22 and 188,025.76 is: 281,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,107.08 : 814,466.22 = 188,025.76 : x
  2. Step 2: Convert to fraction form
    543,107.08/814,466.22 = 188,025.76/x
  3. Step 3: Cross multiply
    543,107.08x = 814,466.22 × 188,025.76
  4. Step 4: Simplify right side
    543,107.08x = 153,140,630,009.83
  5. Step 5: Solve for x
    x = 153,140,630,009.83/543,107.08
  6. Step 6: Final answer
    x = 281,971.34

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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.