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Finding the Fourth Proportional to 213,351.36, 294,435.84 and 117,857.28

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Solution

The fourth proportional to 213,351.36, 294,435.84 and 117,857.28 is: 162,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,351.36 : 294,435.84 = 117,857.28 : x
  2. Step 2: Convert to fraction form
    213,351.36/294,435.84 = 117,857.28/x
  3. Step 3: Cross multiply
    213,351.36x = 294,435.84 × 117,857.28
  4. Step 4: Simplify right side
    213,351.36x = 34,701,407,236.92
  5. Step 5: Solve for x
    x = 34,701,407,236.92/213,351.36
  6. Step 6: Final answer
    x = 162,649.10

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