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Finding the Fourth Proportional to 213,959.71, 295,268.03 and 117,162.01

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Solution

The fourth proportional to 213,959.71, 295,268.03 and 117,162.01 is: 161,685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,959.71 : 295,268.03 = 117,162.01 : x
  2. Step 2: Convert to fraction form
    213,959.71/295,268.03 = 117,162.01/x
  3. Step 3: Cross multiply
    213,959.71x = 295,268.03 × 117,162.01
  4. Step 4: Simplify right side
    213,959.71x = 34,594,195,883.54
  5. Step 5: Solve for x
    x = 34,594,195,883.54/213,959.71
  6. Step 6: Final answer
    x = 161,685.56

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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.