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Finding the Fourth Proportional to 97,951.61, 146,927.34 and 64,663.85

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Solution

The fourth proportional to 97,951.61, 146,927.34 and 64,663.85 is: 96,995.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,951.61 : 146,927.34 = 64,663.85 : x
  2. Step 2: Convert to fraction form
    97,951.61/146,927.34 = 64,663.85/x
  3. Step 3: Cross multiply
    97,951.61x = 146,927.34 × 64,663.85
  4. Step 4: Simplify right side
    97,951.61x = 9,500,887,841.98
  5. Step 5: Solve for x
    x = 9,500,887,841.98/97,951.61
  6. Step 6: Final answer
    x = 96,995.73

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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.