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Finding the Fourth Proportional to 313,201.09, 432,218.64 and 169,961.10

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Solution

The fourth proportional to 313,201.09, 432,218.64 and 169,961.10 is: 234,546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,201.09 : 432,218.64 = 169,961.10 : x
  2. Step 2: Convert to fraction form
    313,201.09/432,218.64 = 169,961.10/x
  3. Step 3: Cross multiply
    313,201.09x = 432,218.64 × 169,961.10
  4. Step 4: Simplify right side
    313,201.09x = 73,460,355,494.90
  5. Step 5: Solve for x
    x = 73,460,355,494.90/313,201.09
  6. Step 6: Final answer
    x = 234,546.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.