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Finding the Fourth Proportional to 164,264.81, 226,685.12 and 92,644.61

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Solution

The fourth proportional to 164,264.81, 226,685.12 and 92,644.61 is: 127,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,264.81 : 226,685.12 = 92,644.61 : x
  2. Step 2: Convert to fraction form
    164,264.81/226,685.12 = 92,644.61/x
  3. Step 3: Cross multiply
    164,264.81x = 226,685.12 × 92,644.61
  4. Step 4: Simplify right side
    164,264.81x = 21,001,152,938.55
  5. Step 5: Solve for x
    x = 21,001,152,938.55/164,264.81
  6. Step 6: Final answer
    x = 127,849.38

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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.