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Finding the Fourth Proportional to 164,509.96, 246,714.67 and 69,738.34

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Solution

The fourth proportional to 164,509.96, 246,714.67 and 69,738.34 is: 104,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,509.96 : 246,714.67 = 69,738.34 : x
  2. Step 2: Convert to fraction form
    164,509.96/246,714.67 = 69,738.34/x
  3. Step 3: Cross multiply
    164,509.96x = 246,714.67 × 69,738.34
  4. Step 4: Simplify right side
    164,509.96x = 17,205,471,539.45
  5. Step 5: Solve for x
    x = 17,205,471,539.45/164,509.96
  6. Step 6: Final answer
    x = 104,586.20

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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.