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Finding the Fourth Proportional to 245,747.25, 338,956.51 and 164,034.31

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Solution

The fourth proportional to 245,747.25, 338,956.51 and 164,034.31 is: 226,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,747.25 : 338,956.51 = 164,034.31 : x
  2. Step 2: Convert to fraction form
    245,747.25/338,956.51 = 164,034.31/x
  3. Step 3: Cross multiply
    245,747.25x = 338,956.51 × 164,034.31
  4. Step 4: Simplify right side
    245,747.25x = 55,600,495,970.17
  5. Step 5: Solve for x
    x = 55,600,495,970.17/245,747.25
  6. Step 6: Final answer
    x = 226,250.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.