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Finding the Fourth Proportional to 211,694.76, 292,140 and 116,202.24

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Solution

The fourth proportional to 211,694.76, 292,140 and 116,202.24 is: 160,359.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,694.76 : 292,140 = 116,202.24 : x
  2. Step 2: Convert to fraction form
    211,694.76/292,140 = 116,202.24/x
  3. Step 3: Cross multiply
    211,694.76x = 292,140 × 116,202.24
  4. Step 4: Simplify right side
    211,694.76x = 33,947,322,393.60
  5. Step 5: Solve for x
    x = 33,947,322,393.60/211,694.76
  6. Step 6: Final answer
    x = 160,359.77

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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.