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Finding the Fourth Proportional to 213,199.64, 294,215.94 and 117,706.52

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Solution

The fourth proportional to 213,199.64, 294,215.94 and 117,706.52 is: 162,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,199.64 : 294,215.94 = 117,706.52 : x
  2. Step 2: Convert to fraction form
    213,199.64/294,215.94 = 117,706.52/x
  3. Step 3: Cross multiply
    213,199.64x = 294,215.94 × 117,706.52
  4. Step 4: Simplify right side
    213,199.64x = 34,631,134,425.93
  5. Step 5: Solve for x
    x = 34,631,134,425.93/213,199.64
  6. Step 6: Final answer
    x = 162,435.24

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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.