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Finding the Fourth Proportional to 114,634.44, 158,200.46 and 63,647.17

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Solution

The fourth proportional to 114,634.44, 158,200.46 and 63,647.17 is: 87,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,634.44 : 158,200.46 = 63,647.17 : x
  2. Step 2: Convert to fraction form
    114,634.44/158,200.46 = 63,647.17/x
  3. Step 3: Cross multiply
    114,634.44x = 158,200.46 × 63,647.17
  4. Step 4: Simplify right side
    114,634.44x = 10,069,011,730.82
  5. Step 5: Solve for x
    x = 10,069,011,730.82/114,634.44
  6. Step 6: Final answer
    x = 87,835.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.