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Finding the Fourth Proportional to 204,653.94, 282,422.88 and 118,629.51

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Solution

The fourth proportional to 204,653.94, 282,422.88 and 118,629.51 is: 163,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,653.94 : 282,422.88 = 118,629.51 : x
  2. Step 2: Convert to fraction form
    204,653.94/282,422.88 = 118,629.51/x
  3. Step 3: Cross multiply
    204,653.94x = 282,422.88 × 118,629.51
  4. Step 4: Simplify right side
    204,653.94x = 33,503,687,867.19
  5. Step 5: Solve for x
    x = 33,503,687,867.19/204,653.94
  6. Step 6: Final answer
    x = 163,708.98

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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.