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Finding the Fourth Proportional to 164,760.96, 227,374.08 and 97,693.44

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Solution

The fourth proportional to 164,760.96, 227,374.08 and 97,693.44 is: 134,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,760.96 : 227,374.08 = 97,693.44 : x
  2. Step 2: Convert to fraction form
    164,760.96/227,374.08 = 97,693.44/x
  3. Step 3: Cross multiply
    164,760.96x = 227,374.08 × 97,693.44
  4. Step 4: Simplify right side
    164,760.96x = 22,212,956,042.04
  5. Step 5: Solve for x
    x = 22,212,956,042.04/164,760.96
  6. Step 6: Final answer
    x = 134,819.29

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1.5x scale

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.