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Finding the Fourth Proportional to 146,412, 219,487.68 and 52,896.96

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Solution

The fourth proportional to 146,412, 219,487.68 and 52,896.96 is: 79,298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,412 : 219,487.68 = 52,896.96 : x
  2. Step 2: Convert to fraction form
    146,412/219,487.68 = 52,896.96/x
  3. Step 3: Cross multiply
    146,412x = 219,487.68 × 52,896.96
  4. Step 4: Simplify right side
    146,412x = 11,610,231,029.45
  5. Step 5: Solve for x
    x = 11,610,231,029.45/146,412
  6. Step 6: Final answer
    x = 79,298.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.