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Finding the Fourth Proportional to 364,002.60, 545,906.70 and 111,282.60

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Solution

The fourth proportional to 364,002.60, 545,906.70 and 111,282.60 is: 166,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,002.60 : 545,906.70 = 111,282.60 : x
  2. Step 2: Convert to fraction form
    364,002.60/545,906.70 = 111,282.60/x
  3. Step 3: Cross multiply
    364,002.60x = 545,906.70 × 111,282.60
  4. Step 4: Simplify right side
    364,002.60x = 60,749,916,933.42
  5. Step 5: Solve for x
    x = 60,749,916,933.42/364,002.60
  6. Step 6: Final answer
    x = 166,894.18

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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.