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Finding the Fourth Proportional to 228,494.52, 342,145.62 and 183,877.56

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Solution

The fourth proportional to 228,494.52, 342,145.62 and 183,877.56 is: 275,336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,494.52 : 342,145.62 = 183,877.56 : x
  2. Step 2: Convert to fraction form
    228,494.52/342,145.62 = 183,877.56/x
  3. Step 3: Cross multiply
    228,494.52x = 342,145.62 × 183,877.56
  4. Step 4: Simplify right side
    228,494.52x = 62,912,901,770.29
  5. Step 5: Solve for x
    x = 62,912,901,770.29/228,494.52
  6. Step 6: Final answer
    x = 275,336.59

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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.