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Finding the Fourth Proportional to 164,671, 227,407.46 and 140,657.74

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Solution

The fourth proportional to 164,671, 227,407.46 and 140,657.74 is: 194,245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,671 : 227,407.46 = 140,657.74 : x
  2. Step 2: Convert to fraction form
    164,671/227,407.46 = 140,657.74/x
  3. Step 3: Cross multiply
    164,671x = 227,407.46 × 140,657.74
  4. Step 4: Simplify right side
    164,671x = 31,986,619,382.74
  5. Step 5: Solve for x
    x = 31,986,619,382.74/164,671
  6. Step 6: Final answer
    x = 194,245.61

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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.