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Finding the Fourth Proportional to 114,797.60, 172,455.64 and 68,081.12

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Solution

The fourth proportional to 114,797.60, 172,455.64 and 68,081.12 is: 102,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,797.60 : 172,455.64 = 68,081.12 : x
  2. Step 2: Convert to fraction form
    114,797.60/172,455.64 = 68,081.12/x
  3. Step 3: Cross multiply
    114,797.60x = 172,455.64 × 68,081.12
  4. Step 4: Simplify right side
    114,797.60x = 11,740,973,121.52
  5. Step 5: Solve for x
    x = 11,740,973,121.52/114,797.60
  6. Step 6: Final answer
    x = 102,275.42

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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.