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Finding the Fourth Proportional to 109,481.52, 164,007.80 and 97,580.08

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Solution

The fourth proportional to 109,481.52, 164,007.80 and 97,580.08 is: 146,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,481.52 : 164,007.80 = 97,580.08 : x
  2. Step 2: Convert to fraction form
    109,481.52/164,007.80 = 97,580.08/x
  3. Step 3: Cross multiply
    109,481.52x = 164,007.80 × 97,580.08
  4. Step 4: Simplify right side
    109,481.52x = 16,003,894,244.62
  5. Step 5: Solve for x
    x = 16,003,894,244.62/109,481.52
  6. Step 6: Final answer
    x = 146,178.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.