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Finding the Fourth Proportional to 164,546.41, 246,866.09 and 46,218.78

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Solution

The fourth proportional to 164,546.41, 246,866.09 and 46,218.78 is: 69,341.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,546.41 : 246,866.09 = 46,218.78 : x
  2. Step 2: Convert to fraction form
    164,546.41/246,866.09 = 46,218.78/x
  3. Step 3: Cross multiply
    164,546.41x = 246,866.09 × 46,218.78
  4. Step 4: Simplify right side
    164,546.41x = 11,409,849,503.17
  5. Step 5: Solve for x
    x = 11,409,849,503.17/164,546.41
  6. Step 6: Final answer
    x = 69,341.22

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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.