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Finding the Fourth Proportional to 213,139.54, 294,132.60 and 117,646.28

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Solution

The fourth proportional to 213,139.54, 294,132.60 and 117,646.28 is: 162,351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,139.54 : 294,132.60 = 117,646.28 : x
  2. Step 2: Convert to fraction form
    213,139.54/294,132.60 = 117,646.28/x
  3. Step 3: Cross multiply
    213,139.54x = 294,132.60 × 117,646.28
  4. Step 4: Simplify right side
    213,139.54x = 34,603,606,216.73
  5. Step 5: Solve for x
    x = 34,603,606,216.73/213,139.54
  6. Step 6: Final answer
    x = 162,351.89

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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.