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Finding the Fourth Proportional to 137,365.82, 206,049.28 and 48,619.34

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Solution

The fourth proportional to 137,365.82, 206,049.28 and 48,619.34 is: 72,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,365.82 : 206,049.28 = 48,619.34 : x
  2. Step 2: Convert to fraction form
    137,365.82/206,049.28 = 48,619.34/x
  3. Step 3: Cross multiply
    137,365.82x = 206,049.28 × 48,619.34
  4. Step 4: Simplify right side
    137,365.82x = 10,017,980,001.08
  5. Step 5: Solve for x
    x = 10,017,980,001.08/137,365.82
  6. Step 6: Final answer
    x = 72,929.20

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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.