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Finding the Fourth Proportional to 164,433.78, 246,649.86 and 39,774.78

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Solution

The fourth proportional to 164,433.78, 246,649.86 and 39,774.78 is: 59,661.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,433.78 : 246,649.86 = 39,774.78 : x
  2. Step 2: Convert to fraction form
    164,433.78/246,649.86 = 39,774.78/x
  3. Step 3: Cross multiply
    164,433.78x = 246,649.86 × 39,774.78
  4. Step 4: Simplify right side
    164,433.78x = 9,810,443,918.53
  5. Step 5: Solve for x
    x = 9,810,443,918.53/164,433.78
  6. Step 6: Final answer
    x = 59,661.97

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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.