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Finding the Fourth Proportional to 363,836.72, 545,742.74 and 111,107.00

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Solution

The fourth proportional to 363,836.72, 545,742.74 and 111,107.00 is: 166,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,836.72 : 545,742.74 = 111,107.00 : x
  2. Step 2: Convert to fraction form
    363,836.72/545,742.74 = 111,107.00/x
  3. Step 3: Cross multiply
    363,836.72x = 545,742.74 × 111,107.00
  4. Step 4: Simplify right side
    363,836.72x = 60,635,835,328.93
  5. Step 5: Solve for x
    x = 60,635,835,328.93/363,836.72
  6. Step 6: Final answer
    x = 166,656.72

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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.