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Finding the Fourth Proportional to 165,806.52, 228,801.90 and 97,819.96

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Solution

The fourth proportional to 165,806.52, 228,801.90 and 97,819.96 is: 134,985.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,806.52 : 228,801.90 = 97,819.96 : x
  2. Step 2: Convert to fraction form
    165,806.52/228,801.90 = 97,819.96/x
  3. Step 3: Cross multiply
    165,806.52x = 228,801.90 × 97,819.96
  4. Step 4: Simplify right side
    165,806.52x = 22,381,392,705.92
  5. Step 5: Solve for x
    x = 22,381,392,705.92/165,806.52
  6. Step 6: Final answer
    x = 134,985.00

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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.