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Finding the Fourth Proportional to 137,557.96, 206,367.92 and 48,811.34

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Solution

The fourth proportional to 137,557.96, 206,367.92 and 48,811.34 is: 73,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,557.96 : 206,367.92 = 48,811.34 : x
  2. Step 2: Convert to fraction form
    137,557.96/206,367.92 = 48,811.34/x
  3. Step 3: Cross multiply
    137,557.96x = 206,367.92 × 48,811.34
  4. Step 4: Simplify right side
    137,557.96x = 10,073,094,708.21
  5. Step 5: Solve for x
    x = 10,073,094,708.21/137,557.96
  6. Step 6: Final answer
    x = 73,228.00

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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.