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Finding the Fourth Proportional to 213,202.54, 294,218.68 and 117,708.53

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Solution

The fourth proportional to 213,202.54, 294,218.68 and 117,708.53 is: 162,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,202.54 : 294,218.68 = 117,708.53 : x
  2. Step 2: Convert to fraction form
    213,202.54/294,218.68 = 117,708.53/x
  3. Step 3: Cross multiply
    213,202.54x = 294,218.68 × 117,708.53
  4. Step 4: Simplify right side
    213,202.54x = 34,632,048,321.34
  5. Step 5: Solve for x
    x = 34,632,048,321.34/213,202.54
  6. Step 6: Final answer
    x = 162,437.32

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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.