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Finding the Fourth Proportional to 165,962.91, 228,994.47 and 97,039.11

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Solution

The fourth proportional to 165,962.91, 228,994.47 and 97,039.11 is: 133,893.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,962.91 : 228,994.47 = 97,039.11 : x
  2. Step 2: Convert to fraction form
    165,962.91/228,994.47 = 97,039.11/x
  3. Step 3: Cross multiply
    165,962.91x = 228,994.47 × 97,039.11
  4. Step 4: Simplify right side
    165,962.91x = 22,221,419,563.72
  5. Step 5: Solve for x
    x = 22,221,419,563.72/165,962.91
  6. Step 6: Final answer
    x = 133,893.89

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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.