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Finding the Fourth Proportional to 213,063.64, 294,029.50 and 117,573.76

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Solution

The fourth proportional to 213,063.64, 294,029.50 and 117,573.76 is: 162,252.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,063.64 : 294,029.50 = 117,573.76 : x
  2. Step 2: Convert to fraction form
    213,063.64/294,029.50 = 117,573.76/x
  3. Step 3: Cross multiply
    213,063.64x = 294,029.50 × 117,573.76
  4. Step 4: Simplify right side
    213,063.64x = 34,570,153,865.92
  5. Step 5: Solve for x
    x = 34,570,153,865.92/213,063.64
  6. Step 6: Final answer
    x = 162,252.71

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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.