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Finding the Fourth Proportional to 111,977.66, 154,529.16 and 61,676.66

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Solution

The fourth proportional to 111,977.66, 154,529.16 and 61,676.66 is: 85,113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,977.66 : 154,529.16 = 61,676.66 : x
  2. Step 2: Convert to fraction form
    111,977.66/154,529.16 = 61,676.66/x
  3. Step 3: Cross multiply
    111,977.66x = 154,529.16 × 61,676.66
  4. Step 4: Simplify right side
    111,977.66x = 9,530,842,461.41
  5. Step 5: Solve for x
    x = 9,530,842,461.41/111,977.66
  6. Step 6: Final answer
    x = 85,113.78

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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.