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Finding the Fourth Proportional to 114,154.53, 171,232.95 and 50,977.87

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Solution

The fourth proportional to 114,154.53, 171,232.95 and 50,977.87 is: 76,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,154.53 : 171,232.95 = 50,977.87 : x
  2. Step 2: Convert to fraction form
    114,154.53/171,232.95 = 50,977.87/x
  3. Step 3: Cross multiply
    114,154.53x = 171,232.95 × 50,977.87
  4. Step 4: Simplify right side
    114,154.53x = 8,729,089,953.76
  5. Step 5: Solve for x
    x = 8,729,089,953.76/114,154.53
  6. Step 6: Final answer
    x = 76,467.31

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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.