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Finding the Fourth Proportional to 170,664, 255,996 and 46,005

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Solution

The fourth proportional to 170,664, 255,996 and 46,005 is: 69,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,664 : 255,996 = 46,005 : x
  2. Step 2: Convert to fraction form
    170,664/255,996 = 46,005/x
  3. Step 3: Cross multiply
    170,664x = 255,996 × 46,005
  4. Step 4: Simplify right side
    170,664x = 11,777,095,980
  5. Step 5: Solve for x
    x = 11,777,095,980/170,664
  6. Step 6: Final answer
    x = 69,007.50

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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.