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Finding the Fourth Proportional to 137,709.86, 206,502.44 and 48,965.70

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Solution

The fourth proportional to 137,709.86, 206,502.44 and 48,965.70 is: 73,426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,709.86 : 206,502.44 = 48,965.70 : x
  2. Step 2: Convert to fraction form
    137,709.86/206,502.44 = 48,965.70/x
  3. Step 3: Cross multiply
    137,709.86x = 206,502.44 × 48,965.70
  4. Step 4: Simplify right side
    137,709.86x = 10,111,536,526.31
  5. Step 5: Solve for x
    x = 10,111,536,526.31/137,709.86
  6. Step 6: Final answer
    x = 73,426.38

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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.