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Finding the Fourth Proportional to 137,527.92, 206,223.84 and 48,768.12

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Solution

The fourth proportional to 137,527.92, 206,223.84 and 48,768.12 is: 73,128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,527.92 : 206,223.84 = 48,768.12 : x
  2. Step 2: Convert to fraction form
    137,527.92/206,223.84 = 48,768.12/x
  3. Step 3: Cross multiply
    137,527.92x = 206,223.84 × 48,768.12
  4. Step 4: Simplify right side
    137,527.92x = 10,057,148,975.98
  5. Step 5: Solve for x
    x = 10,057,148,975.98/137,527.92
  6. Step 6: Final answer
    x = 73,128.05

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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.