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Finding the Fourth Proportional to 169,581.96, 234,024.03 and 105,956.64

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Solution

The fourth proportional to 169,581.96, 234,024.03 and 105,956.64 is: 146,220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,581.96 : 234,024.03 = 105,956.64 : x
  2. Step 2: Convert to fraction form
    169,581.96/234,024.03 = 105,956.64/x
  3. Step 3: Cross multiply
    169,581.96x = 234,024.03 × 105,956.64
  4. Step 4: Simplify right side
    169,581.96x = 24,796,399,898.06
  5. Step 5: Solve for x
    x = 24,796,399,898.06/169,581.96
  6. Step 6: Final answer
    x = 146,220.74

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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.