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Finding the Fourth Proportional to 164,278.71, 246,811.71 and 105,229.71

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Solution

The fourth proportional to 164,278.71, 246,811.71 and 105,229.71 is: 158,096.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,278.71 : 246,811.71 = 105,229.71 : x
  2. Step 2: Convert to fraction form
    164,278.71/246,811.71 = 105,229.71/x
  3. Step 3: Cross multiply
    164,278.71x = 246,811.71 × 105,229.71
  4. Step 4: Simplify right side
    164,278.71x = 25,971,925,062.52
  5. Step 5: Solve for x
    x = 25,971,925,062.52/164,278.71
  6. Step 6: Final answer
    x = 158,096.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.