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Finding the Fourth Proportional to 137,071.72, 205,629.34 and 48,352.36

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Solution

The fourth proportional to 137,071.72, 205,629.34 and 48,352.36 is: 72,536.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,071.72 : 205,629.34 = 48,352.36 : x
  2. Step 2: Convert to fraction form
    137,071.72/205,629.34 = 48,352.36/x
  3. Step 3: Cross multiply
    137,071.72x = 205,629.34 × 48,352.36
  4. Step 4: Simplify right side
    137,071.72x = 9,942,663,874.24
  5. Step 5: Solve for x
    x = 9,942,663,874.24/137,071.72
  6. Step 6: Final answer
    x = 72,536.22

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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.