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Finding the Fourth Proportional to 166,388.72, 230,004.30 and 148,417.54

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Solution

The fourth proportional to 166,388.72, 230,004.30 and 148,417.54 is: 205,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,388.72 : 230,004.30 = 148,417.54 : x
  2. Step 2: Convert to fraction form
    166,388.72/230,004.30 = 148,417.54/x
  3. Step 3: Cross multiply
    166,388.72x = 230,004.30 × 148,417.54
  4. Step 4: Simplify right side
    166,388.72x = 34,136,672,376.98
  5. Step 5: Solve for x
    x = 34,136,672,376.98/166,388.72
  6. Step 6: Final answer
    x = 205,162.19

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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.