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Finding the Fourth Proportional to 213,004.72, 293,944.56 and 117,512.16

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Solution

The fourth proportional to 213,004.72, 293,944.56 and 117,512.16 is: 162,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,004.72 : 293,944.56 = 117,512.16 : x
  2. Step 2: Convert to fraction form
    213,004.72/293,944.56 = 117,512.16/x
  3. Step 3: Cross multiply
    213,004.72x = 293,944.56 × 117,512.16
  4. Step 4: Simplify right side
    213,004.72x = 34,542,060,165.85
  5. Step 5: Solve for x
    x = 34,542,060,165.85/213,004.72
  6. Step 6: Final answer
    x = 162,165.70

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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.