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Finding the Fourth Proportional to 163,498.53, 225,629.46 and 98,969.25

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Solution

The fourth proportional to 163,498.53, 225,629.46 and 98,969.25 is: 136,578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,498.53 : 225,629.46 = 98,969.25 : x
  2. Step 2: Convert to fraction form
    163,498.53/225,629.46 = 98,969.25/x
  3. Step 3: Cross multiply
    163,498.53x = 225,629.46 × 98,969.25
  4. Step 4: Simplify right side
    163,498.53x = 22,330,378,434.11
  5. Step 5: Solve for x
    x = 22,330,378,434.11/163,498.53
  6. Step 6: Final answer
    x = 136,578.47

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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.