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Finding the Fourth Proportional to 164,389.91, 226,858.12 and 92,785.10

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Solution

The fourth proportional to 164,389.91, 226,858.12 and 92,785.10 is: 128,043.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,389.91 : 226,858.12 = 92,785.10 : x
  2. Step 2: Convert to fraction form
    164,389.91/226,858.12 = 92,785.10/x
  3. Step 3: Cross multiply
    164,389.91x = 226,858.12 × 92,785.10
  4. Step 4: Simplify right side
    164,389.91x = 21,049,051,983.76
  5. Step 5: Solve for x
    x = 21,049,051,983.76/164,389.91
  6. Step 6: Final answer
    x = 128,043.46

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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.