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Finding the Fourth Proportional to 270,332.64, 405,723.60 and 144,110.88

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Solution

The fourth proportional to 270,332.64, 405,723.60 and 144,110.88 is: 216,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,332.64 : 405,723.60 = 144,110.88 : x
  2. Step 2: Convert to fraction form
    270,332.64/405,723.60 = 144,110.88/x
  3. Step 3: Cross multiply
    270,332.64x = 405,723.60 × 144,110.88
  4. Step 4: Simplify right side
    270,332.64x = 58,469,185,032.77
  5. Step 5: Solve for x
    x = 58,469,185,032.77/270,332.64
  6. Step 6: Final answer
    x = 216,286.07

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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.