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Finding the Fourth Proportional to 113,192, 169,529.46 and 54,069.50

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Solution

The fourth proportional to 113,192, 169,529.46 and 54,069.50 is: 80,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,192 : 169,529.46 = 54,069.50 : x
  2. Step 2: Convert to fraction form
    113,192/169,529.46 = 54,069.50/x
  3. Step 3: Cross multiply
    113,192x = 169,529.46 × 54,069.50
  4. Step 4: Simplify right side
    113,192x = 9,166,373,137.47
  5. Step 5: Solve for x
    x = 9,166,373,137.47/113,192
  6. Step 6: Final answer
    x = 80,980.75

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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.