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Finding the Fourth Proportional to 119,493.14, 164,900.48 and 65,777.88

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Solution

The fourth proportional to 119,493.14, 164,900.48 and 65,777.88 is: 90,773.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,493.14 : 164,900.48 = 65,777.88 : x
  2. Step 2: Convert to fraction form
    119,493.14/164,900.48 = 65,777.88/x
  3. Step 3: Cross multiply
    119,493.14x = 164,900.48 × 65,777.88
  4. Step 4: Simplify right side
    119,493.14x = 10,846,803,160.88
  5. Step 5: Solve for x
    x = 10,846,803,160.88/119,493.14
  6. Step 6: Final answer
    x = 90,773.44

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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.