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Finding the Fourth Proportional to 165,842.16, 228,894.84 and 115,512

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Solution

The fourth proportional to 165,842.16, 228,894.84 and 115,512 is: 159,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,842.16 : 228,894.84 = 115,512 : x
  2. Step 2: Convert to fraction form
    165,842.16/228,894.84 = 115,512/x
  3. Step 3: Cross multiply
    165,842.16x = 228,894.84 × 115,512
  4. Step 4: Simplify right side
    165,842.16x = 26,440,100,758.08
  5. Step 5: Solve for x
    x = 26,440,100,758.08/165,842.16
  6. Step 6: Final answer
    x = 159,429.31

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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.