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Finding the Fourth Proportional to 213,198.84, 294,214.32 and 117,712.08

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Solution

The fourth proportional to 213,198.84, 294,214.32 and 117,712.08 is: 162,442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,198.84 : 294,214.32 = 117,712.08 : x
  2. Step 2: Convert to fraction form
    213,198.84/294,214.32 = 117,712.08/x
  3. Step 3: Cross multiply
    213,198.84x = 294,214.32 × 117,712.08
  4. Step 4: Simplify right side
    213,198.84x = 34,632,579,572.99
  5. Step 5: Solve for x
    x = 34,632,579,572.99/213,198.84
  6. Step 6: Final answer
    x = 162,442.63

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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.