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Finding the Fourth Proportional to 227,585.25, 314,067.65 and 126,983.25

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Solution

The fourth proportional to 227,585.25, 314,067.65 and 126,983.25 is: 175,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,585.25 : 314,067.65 = 126,983.25 : x
  2. Step 2: Convert to fraction form
    227,585.25/314,067.65 = 126,983.25/x
  3. Step 3: Cross multiply
    227,585.25x = 314,067.65 × 126,983.25
  4. Step 4: Simplify right side
    227,585.25x = 39,881,330,281.95
  5. Step 5: Solve for x
    x = 39,881,330,281.95/227,585.25
  6. Step 6: Final answer
    x = 175,236.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.