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Finding the Fourth Proportional to 137,428.80, 206,148.48 and 48,682.56

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Solution

The fourth proportional to 137,428.80, 206,148.48 and 48,682.56 is: 73,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,428.80 : 206,148.48 = 48,682.56 : x
  2. Step 2: Convert to fraction form
    137,428.80/206,148.48 = 48,682.56/x
  3. Step 3: Cross multiply
    137,428.80x = 206,148.48 × 48,682.56
  4. Step 4: Simplify right side
    137,428.80x = 10,035,835,746.51
  5. Step 5: Solve for x
    x = 10,035,835,746.51/137,428.80
  6. Step 6: Final answer
    x = 73,025.71

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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.