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Finding the Fourth Proportional to 165,554, 228,696.84 and 147,643.28

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Solution

The fourth proportional to 165,554, 228,696.84 and 147,643.28 is: 203,954.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,554 : 228,696.84 = 147,643.28 : x
  2. Step 2: Convert to fraction form
    165,554/228,696.84 = 147,643.28/x
  3. Step 3: Cross multiply
    165,554x = 228,696.84 × 147,643.28
  4. Step 4: Simplify right side
    165,554x = 33,765,551,583.24
  5. Step 5: Solve for x
    x = 33,765,551,583.24/165,554
  6. Step 6: Final answer
    x = 203,954.91

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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.