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Finding the Fourth Proportional to 131,809.50, 197,673.36 and 47,558.70

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Solution

The fourth proportional to 131,809.50, 197,673.36 and 47,558.70 is: 71,323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,809.50 : 197,673.36 = 47,558.70 : x
  2. Step 2: Convert to fraction form
    131,809.50/197,673.36 = 47,558.70/x
  3. Step 3: Cross multiply
    131,809.50x = 197,673.36 × 47,558.70
  4. Step 4: Simplify right side
    131,809.50x = 9,401,088,026.23
  5. Step 5: Solve for x
    x = 9,401,088,026.23/131,809.50
  6. Step 6: Final answer
    x = 71,323.30

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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.