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Finding the Fourth Proportional to 211,258.46, 291,544.72 and 120,629.18

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Solution

The fourth proportional to 211,258.46, 291,544.72 and 120,629.18 is: 166,472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,258.46 : 291,544.72 = 120,629.18 : x
  2. Step 2: Convert to fraction form
    211,258.46/291,544.72 = 120,629.18/x
  3. Step 3: Cross multiply
    211,258.46x = 291,544.72 × 120,629.18
  4. Step 4: Simplify right side
    211,258.46x = 35,168,800,506.93
  5. Step 5: Solve for x
    x = 35,168,800,506.93/211,258.46
  6. Step 6: Final answer
    x = 166,472.86

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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.