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Finding the Fourth Proportional to 165,808.54, 228,819.51 and 97,842.07

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Solution

The fourth proportional to 165,808.54, 228,819.51 and 97,842.07 is: 135,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,808.54 : 228,819.51 = 97,842.07 : x
  2. Step 2: Convert to fraction form
    165,808.54/228,819.51 = 97,842.07/x
  3. Step 3: Cross multiply
    165,808.54x = 228,819.51 × 97,842.07
  4. Step 4: Simplify right side
    165,808.54x = 22,388,174,514.79
  5. Step 5: Solve for x
    x = 22,388,174,514.79/165,808.54
  6. Step 6: Final answer
    x = 135,024.25

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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.