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Finding the Fourth Proportional to 164,624.98, 246,938.38 and 46,297.34

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Solution

The fourth proportional to 164,624.98, 246,938.38 and 46,297.34 is: 69,446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,624.98 : 246,938.38 = 46,297.34 : x
  2. Step 2: Convert to fraction form
    164,624.98/246,938.38 = 46,297.34/x
  3. Step 3: Cross multiply
    164,624.98x = 246,938.38 × 46,297.34
  4. Step 4: Simplify right side
    164,624.98x = 11,432,590,137.91
  5. Step 5: Solve for x
    x = 11,432,590,137.91/164,624.98
  6. Step 6: Final answer
    x = 69,446.27

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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.