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Finding the Fourth Proportional to 213,205.64, 294,224.22 and 117,712.52

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Solution

The fourth proportional to 213,205.64, 294,224.22 and 117,712.52 is: 162,443.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,205.64 : 294,224.22 = 117,712.52 : x
  2. Step 2: Convert to fraction form
    213,205.64/294,224.22 = 117,712.52/x
  3. Step 3: Cross multiply
    213,205.64x = 294,224.22 × 117,712.52
  4. Step 4: Simplify right side
    213,205.64x = 34,633,874,381.23
  5. Step 5: Solve for x
    x = 34,633,874,381.23/213,205.64
  6. Step 6: Final answer
    x = 162,443.52

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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.