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Finding the Fourth Proportional to 131,061, 196,591.50 and 43,509

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Solution

The fourth proportional to 131,061, 196,591.50 and 43,509 is: 65,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,061 : 196,591.50 = 43,509 : x
  2. Step 2: Convert to fraction form
    131,061/196,591.50 = 43,509/x
  3. Step 3: Cross multiply
    131,061x = 196,591.50 × 43,509
  4. Step 4: Simplify right side
    131,061x = 8,553,499,573.50
  5. Step 5: Solve for x
    x = 8,553,499,573.50/131,061
  6. Step 6: Final answer
    x = 65,263.50

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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.