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Finding the Fourth Proportional to 97,967.00, 146,992.10 and 53,541.85

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Solution

The fourth proportional to 97,967.00, 146,992.10 and 53,541.85 is: 80,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,967.00 : 146,992.10 = 53,541.85 : x
  2. Step 2: Convert to fraction form
    97,967.00/146,992.10 = 53,541.85/x
  3. Step 3: Cross multiply
    97,967.00x = 146,992.10 × 53,541.85
  4. Step 4: Simplify right side
    97,967.00x = 7,870,228,534.98
  5. Step 5: Solve for x
    x = 7,870,228,534.98/97,967.00
  6. Step 6: Final answer
    x = 80,335.51

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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.