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Finding the Fourth Proportional to 213,334.76, 294,396.32 and 117,839.40

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Solution

The fourth proportional to 213,334.76, 294,396.32 and 117,839.40 is: 162,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,334.76 : 294,396.32 = 117,839.40 : x
  2. Step 2: Convert to fraction form
    213,334.76/294,396.32 = 117,839.40/x
  3. Step 3: Cross multiply
    213,334.76x = 294,396.32 × 117,839.40
  4. Step 4: Simplify right side
    213,334.76x = 34,691,485,711.01
  5. Step 5: Solve for x
    x = 34,691,485,711.01/213,334.76
  6. Step 6: Final answer
    x = 162,615.25

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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.