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Finding the Fourth Proportional to 111,200.58, 166,716 and 36,275.58

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Solution

The fourth proportional to 111,200.58, 166,716 and 36,275.58 is: 54,385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,200.58 : 166,716 = 36,275.58 : x
  2. Step 2: Convert to fraction form
    111,200.58/166,716 = 36,275.58/x
  3. Step 3: Cross multiply
    111,200.58x = 166,716 × 36,275.58
  4. Step 4: Simplify right side
    111,200.58x = 6,047,719,595.28
  5. Step 5: Solve for x
    x = 6,047,719,595.28/111,200.58
  6. Step 6: Final answer
    x = 54,385.68

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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.