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Finding the Fourth Proportional to 111,276.80, 166,931.40 and 36,378.80

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Solution

The fourth proportional to 111,276.80, 166,931.40 and 36,378.80 is: 54,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,276.80 : 166,931.40 = 36,378.80 : x
  2. Step 2: Convert to fraction form
    111,276.80/166,931.40 = 36,378.80/x
  3. Step 3: Cross multiply
    111,276.80x = 166,931.40 × 36,378.80
  4. Step 4: Simplify right side
    111,276.80x = 6,072,764,014.32
  5. Step 5: Solve for x
    x = 6,072,764,014.32/111,276.80
  6. Step 6: Final answer
    x = 54,573.50

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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.