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Finding the Fourth Proportional to 137,705.77, 206,496.35 and 48,961.64

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Solution

The fourth proportional to 137,705.77, 206,496.35 and 48,961.64 is: 73,420.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,705.77 : 206,496.35 = 48,961.64 : x
  2. Step 2: Convert to fraction form
    137,705.77/206,496.35 = 48,961.64/x
  3. Step 3: Cross multiply
    137,705.77x = 206,496.35 × 48,961.64
  4. Step 4: Simplify right side
    137,705.77x = 10,110,399,950.01
  5. Step 5: Solve for x
    x = 10,110,399,950.01/137,705.77
  6. Step 6: Final answer
    x = 73,420.31

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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.