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Finding the Fourth Proportional to 248,411.90, 342,853.26 and 146,431.46

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Solution

The fourth proportional to 248,411.90, 342,853.26 and 146,431.46 is: 202,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,411.90 : 342,853.26 = 146,431.46 : x
  2. Step 2: Convert to fraction form
    248,411.90/342,853.26 = 146,431.46/x
  3. Step 3: Cross multiply
    248,411.90x = 342,853.26 × 146,431.46
  4. Step 4: Simplify right side
    248,411.90x = 50,204,503,427.56
  5. Step 5: Solve for x
    x = 50,204,503,427.56/248,411.90
  6. Step 6: Final answer
    x = 202,101.85

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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.