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Finding the Fourth Proportional to 164,264.19, 226,684.54 and 92,644.05

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Solution

The fourth proportional to 164,264.19, 226,684.54 and 92,644.05 is: 127,848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,264.19 : 226,684.54 = 92,644.05 : x
  2. Step 2: Convert to fraction form
    164,264.19/226,684.54 = 92,644.05/x
  3. Step 3: Cross multiply
    164,264.19x = 226,684.54 × 92,644.05
  4. Step 4: Simplify right side
    164,264.19x = 21,000,973,857.99
  5. Step 5: Solve for x
    x = 21,000,973,857.99/164,264.19
  6. Step 6: Final answer
    x = 127,848.77

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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.