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Finding the Fourth Proportional to 102,653.20, 154,066.20 and 50,107.60

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Solution

The fourth proportional to 102,653.20, 154,066.20 and 50,107.60 is: 75,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,653.20 : 154,066.20 = 50,107.60 : x
  2. Step 2: Convert to fraction form
    102,653.20/154,066.20 = 50,107.60/x
  3. Step 3: Cross multiply
    102,653.20x = 154,066.20 × 50,107.60
  4. Step 4: Simplify right side
    102,653.20x = 7,719,887,523.12
  5. Step 5: Solve for x
    x = 7,719,887,523.12/102,653.20
  6. Step 6: Final answer
    x = 75,203.57

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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.