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Finding the Fourth Proportional to 213,197.40, 294,206.58 and 117,697.32

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Solution

The fourth proportional to 213,197.40, 294,206.58 and 117,697.32 is: 162,419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,197.40 : 294,206.58 = 117,697.32 : x
  2. Step 2: Convert to fraction form
    213,197.40/294,206.58 = 117,697.32/x
  3. Step 3: Cross multiply
    213,197.40x = 294,206.58 × 117,697.32
  4. Step 4: Simplify right side
    213,197.40x = 34,627,325,992.37
  5. Step 5: Solve for x
    x = 34,627,325,992.37/213,197.40
  6. Step 6: Final answer
    x = 162,419.08

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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.