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Finding the Fourth Proportional to 119,493.16, 164,894.90 and 65,777.08

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Solution

The fourth proportional to 119,493.16, 164,894.90 and 65,777.08 is: 90,769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,493.16 : 164,894.90 = 65,777.08 : x
  2. Step 2: Convert to fraction form
    119,493.16/164,894.90 = 65,777.08/x
  3. Step 3: Cross multiply
    119,493.16x = 164,894.90 × 65,777.08
  4. Step 4: Simplify right side
    119,493.16x = 10,846,305,028.89
  5. Step 5: Solve for x
    x = 10,846,305,028.89/119,493.16
  6. Step 6: Final answer
    x = 90,769.25

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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.