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Finding the Fourth Proportional to 137,446.14, 206,201.48 and 42,671.49

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Solution

The fourth proportional to 137,446.14, 206,201.48 and 42,671.49 is: 64,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,446.14 : 206,201.48 = 42,671.49 : x
  2. Step 2: Convert to fraction form
    137,446.14/206,201.48 = 42,671.49/x
  3. Step 3: Cross multiply
    137,446.14x = 206,201.48 × 42,671.49
  4. Step 4: Simplify right side
    137,446.14x = 8,798,924,391.81
  5. Step 5: Solve for x
    x = 8,798,924,391.81/137,446.14
  6. Step 6: Final answer
    x = 64,017.25

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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.