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Finding the Fourth Proportional to 137,229.72, 205,802.56 and 48,462.43

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Solution

The fourth proportional to 137,229.72, 205,802.56 and 48,462.43 is: 72,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,229.72 : 205,802.56 = 48,462.43 : x
  2. Step 2: Convert to fraction form
    137,229.72/205,802.56 = 48,462.43/x
  3. Step 3: Cross multiply
    137,229.72x = 205,802.56 × 48,462.43
  4. Step 4: Simplify right side
    137,229.72x = 9,973,692,157.82
  5. Step 5: Solve for x
    x = 9,973,692,157.82/137,229.72
  6. Step 6: Final answer
    x = 72,678.81

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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.