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Finding the Fourth Proportional to 164,689.35, 227,100.38 and 140,894.79

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Solution

The fourth proportional to 164,689.35, 227,100.38 and 140,894.79 is: 194,288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,689.35 : 227,100.38 = 140,894.79 : x
  2. Step 2: Convert to fraction form
    164,689.35/227,100.38 = 140,894.79/x
  3. Step 3: Cross multiply
    164,689.35x = 227,100.38 × 140,894.79
  4. Step 4: Simplify right side
    164,689.35x = 31,997,259,644.55
  5. Step 5: Solve for x
    x = 31,997,259,644.55/164,689.35
  6. Step 6: Final answer
    x = 194,288.58

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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.