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Finding the Fourth Proportional to 165,912.26, 228,978.35 and 94,303.04

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Solution

The fourth proportional to 165,912.26, 228,978.35 and 94,303.04 is: 130,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,912.26 : 228,978.35 = 94,303.04 : x
  2. Step 2: Convert to fraction form
    165,912.26/228,978.35 = 94,303.04/x
  3. Step 3: Cross multiply
    165,912.26x = 228,978.35 × 94,303.04
  4. Step 4: Simplify right side
    165,912.26x = 21,593,354,499.18
  5. Step 5: Solve for x
    x = 21,593,354,499.18/165,912.26
  6. Step 6: Final answer
    x = 130,149.24

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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.