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Finding the Fourth Proportional to 205,275.94, 283,275.29 and 114,629.38

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Solution

The fourth proportional to 205,275.94, 283,275.29 and 114,629.38 is: 158,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,275.94 : 283,275.29 = 114,629.38 : x
  2. Step 2: Convert to fraction form
    205,275.94/283,275.29 = 114,629.38/x
  3. Step 3: Cross multiply
    205,275.94x = 283,275.29 × 114,629.38
  4. Step 4: Simplify right side
    205,275.94x = 32,471,670,440.41
  5. Step 5: Solve for x
    x = 32,471,670,440.41/205,275.94
  6. Step 6: Final answer
    x = 158,185.47

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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.