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Finding the Fourth Proportional to 114,777, 158,392.26 and 64,476

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Solution

The fourth proportional to 114,777, 158,392.26 and 64,476 is: 88,976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,777 : 158,392.26 = 64,476 : x
  2. Step 2: Convert to fraction form
    114,777/158,392.26 = 64,476/x
  3. Step 3: Cross multiply
    114,777x = 158,392.26 × 64,476
  4. Step 4: Simplify right side
    114,777x = 10,212,499,355.76
  5. Step 5: Solve for x
    x = 10,212,499,355.76/114,777
  6. Step 6: Final answer
    x = 88,976.88

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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.