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Finding the Fourth Proportional to 148,940.20, 223,475.10 and 75,068.20

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Solution

The fourth proportional to 148,940.20, 223,475.10 and 75,068.20 is: 112,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,940.20 : 223,475.10 = 75,068.20 : x
  2. Step 2: Convert to fraction form
    148,940.20/223,475.10 = 75,068.20/x
  3. Step 3: Cross multiply
    148,940.20x = 223,475.10 × 75,068.20
  4. Step 4: Simplify right side
    148,940.20x = 16,775,873,501.82
  5. Step 5: Solve for x
    x = 16,775,873,501.82/148,940.20
  6. Step 6: Final answer
    x = 112,634.96

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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.