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Finding the Fourth Proportional to 213,216.34, 294,243.14 and 117,729.08

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Solution

The fourth proportional to 213,216.34, 294,243.14 and 117,729.08 is: 162,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,216.34 : 294,243.14 = 117,729.08 : x
  2. Step 2: Convert to fraction form
    213,216.34/294,243.14 = 117,729.08/x
  3. Step 3: Cross multiply
    213,216.34x = 294,243.14 × 117,729.08
  4. Step 4: Simplify right side
    213,216.34x = 34,640,974,168.51
  5. Step 5: Solve for x
    x = 34,640,974,168.51/213,216.34
  6. Step 6: Final answer
    x = 162,468.67

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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.