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Finding the Fourth Proportional to 131,803.29, 197,664.04 and 47,552.50

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Solution

The fourth proportional to 131,803.29, 197,664.04 and 47,552.50 is: 71,314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,803.29 : 197,664.04 = 47,552.50 : x
  2. Step 2: Convert to fraction form
    131,803.29/197,664.04 = 47,552.50/x
  3. Step 3: Cross multiply
    131,803.29x = 197,664.04 × 47,552.50
  4. Step 4: Simplify right side
    131,803.29x = 9,399,419,262.10
  5. Step 5: Solve for x
    x = 9,399,419,262.10/131,803.29
  6. Step 6: Final answer
    x = 71,314.00

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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.