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Finding the Fourth Proportional to 165,578, 228,497.64 and 90,127.04

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Solution

The fourth proportional to 165,578, 228,497.64 and 90,127.04 is: 124,375.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,578 : 228,497.64 = 90,127.04 : x
  2. Step 2: Convert to fraction form
    165,578/228,497.64 = 90,127.04/x
  3. Step 3: Cross multiply
    165,578x = 228,497.64 × 90,127.04
  4. Step 4: Simplify right side
    165,578x = 20,593,815,940.19
  5. Step 5: Solve for x
    x = 20,593,815,940.19/165,578
  6. Step 6: Final answer
    x = 124,375.32

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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.