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Finding the Fourth Proportional to 213,232.64, 294,261.48 and 117,739.52

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Solution

The fourth proportional to 213,232.64, 294,261.48 and 117,739.52 is: 162,480.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,232.64 : 294,261.48 = 117,739.52 : x
  2. Step 2: Convert to fraction form
    213,232.64/294,261.48 = 117,739.52/x
  3. Step 3: Cross multiply
    213,232.64x = 294,261.48 × 117,739.52
  4. Step 4: Simplify right side
    213,232.64x = 34,646,205,409.69
  5. Step 5: Solve for x
    x = 34,646,205,409.69/213,232.64
  6. Step 6: Final answer
    x = 162,480.78

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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.