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Finding the Fourth Proportional to 164,246.64, 226,696.64 and 106,785.96

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Solution

The fourth proportional to 164,246.64, 226,696.64 and 106,785.96 is: 147,388.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,246.64 : 226,696.64 = 106,785.96 : x
  2. Step 2: Convert to fraction form
    164,246.64/226,696.64 = 106,785.96/x
  3. Step 3: Cross multiply
    164,246.64x = 226,696.64 × 106,785.96
  4. Step 4: Simplify right side
    164,246.64x = 24,208,018,331.17
  5. Step 5: Solve for x
    x = 24,208,018,331.17/164,246.64
  6. Step 6: Final answer
    x = 147,388.21

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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.