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Finding the Fourth Proportional to 308,054.64, 462,081.64 and 115,964.92

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Solution

The fourth proportional to 308,054.64, 462,081.64 and 115,964.92 is: 173,947.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,054.64 : 462,081.64 = 115,964.92 : x
  2. Step 2: Convert to fraction form
    308,054.64/462,081.64 = 115,964.92/x
  3. Step 3: Cross multiply
    308,054.64x = 462,081.64 × 115,964.92
  4. Step 4: Simplify right side
    308,054.64x = 53,585,260,416.07
  5. Step 5: Solve for x
    x = 53,585,260,416.07/308,054.64
  6. Step 6: Final answer
    x = 173,947.26

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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.