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Finding the Fourth Proportional to 137,543.67, 206,247.47 and 48,783.87

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Solution

The fourth proportional to 137,543.67, 206,247.47 and 48,783.87 is: 73,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,543.67 : 206,247.47 = 48,783.87 : x
  2. Step 2: Convert to fraction form
    137,543.67/206,247.47 = 48,783.87/x
  3. Step 3: Cross multiply
    137,543.67x = 206,247.47 × 48,783.87
  4. Step 4: Simplify right side
    137,543.67x = 10,061,549,520.39
  5. Step 5: Solve for x
    x = 10,061,549,520.39/137,543.67
  6. Step 6: Final answer
    x = 73,151.67

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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.