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Finding the Fourth Proportional to 166,956.72, 230,400.54 and 98,032.86

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Solution

The fourth proportional to 166,956.72, 230,400.54 and 98,032.86 is: 135,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,956.72 : 230,400.54 = 98,032.86 : x
  2. Step 2: Convert to fraction form
    166,956.72/230,400.54 = 98,032.86/x
  3. Step 3: Cross multiply
    166,956.72x = 230,400.54 × 98,032.86
  4. Step 4: Simplify right side
    166,956.72x = 22,586,823,881.74
  5. Step 5: Solve for x
    x = 22,586,823,881.74/166,956.72
  6. Step 6: Final answer
    x = 135,285.50

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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.