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Finding the Fourth Proportional to 148,843.60, 223,284.76 and 49,014

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Solution

The fourth proportional to 148,843.60, 223,284.76 and 49,014 is: 73,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,843.60 : 223,284.76 = 49,014 : x
  2. Step 2: Convert to fraction form
    148,843.60/223,284.76 = 49,014/x
  3. Step 3: Cross multiply
    148,843.60x = 223,284.76 × 49,014
  4. Step 4: Simplify right side
    148,843.60x = 10,944,079,226.64
  5. Step 5: Solve for x
    x = 10,944,079,226.64/148,843.60
  6. Step 6: Final answer
    x = 73,527.38

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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.