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Finding the Fourth Proportional to 164,476, 227,019.42 and 107,257.96

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Solution

The fourth proportional to 164,476, 227,019.42 and 107,257.96 is: 148,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,476 : 227,019.42 = 107,257.96 : x
  2. Step 2: Convert to fraction form
    164,476/227,019.42 = 107,257.96/x
  3. Step 3: Cross multiply
    164,476x = 227,019.42 × 107,257.96
  4. Step 4: Simplify right side
    164,476x = 24,349,639,869.58
  5. Step 5: Solve for x
    x = 24,349,639,869.58/164,476
  6. Step 6: Final answer
    x = 148,043.73

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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.