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Finding the Fourth Proportional to 131,076.40, 196,593 and 56,208.64

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Solution

The fourth proportional to 131,076.40, 196,593 and 56,208.64 is: 84,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,076.40 : 196,593 = 56,208.64 : x
  2. Step 2: Convert to fraction form
    131,076.40/196,593 = 56,208.64/x
  3. Step 3: Cross multiply
    131,076.40x = 196,593 × 56,208.64
  4. Step 4: Simplify right side
    131,076.40x = 11,050,225,163.52
  5. Step 5: Solve for x
    x = 11,050,225,163.52/131,076.40
  6. Step 6: Final answer
    x = 84,303.70

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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.