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Finding the Fourth Proportional to 213,201.14, 294,218.02 and 117,708.02

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Solution

The fourth proportional to 213,201.14, 294,218.02 and 117,708.02 is: 162,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,201.14 : 294,218.02 = 117,708.02 : x
  2. Step 2: Convert to fraction form
    213,201.14/294,218.02 = 117,708.02/x
  3. Step 3: Cross multiply
    213,201.14x = 294,218.02 × 117,708.02
  4. Step 4: Simplify right side
    213,201.14x = 34,631,820,582.52
  5. Step 5: Solve for x
    x = 34,631,820,582.52/213,201.14
  6. Step 6: Final answer
    x = 162,437.31

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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.