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Finding the Fourth Proportional to 211,737.64, 292,205.46 and 116,251.60

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Solution

The fourth proportional to 211,737.64, 292,205.46 and 116,251.60 is: 160,431.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,737.64 : 292,205.46 = 116,251.60 : x
  2. Step 2: Convert to fraction form
    211,737.64/292,205.46 = 116,251.60/x
  3. Step 3: Cross multiply
    211,737.64x = 292,205.46 × 116,251.60
  4. Step 4: Simplify right side
    211,737.64x = 33,969,352,253.74
  5. Step 5: Solve for x
    x = 33,969,352,253.74/211,737.64
  6. Step 6: Final answer
    x = 160,431.33

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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.