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Finding the Fourth Proportional to 205,472, 283,551.36 and 116,048

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Solution

The fourth proportional to 205,472, 283,551.36 and 116,048 is: 160,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,472 : 283,551.36 = 116,048 : x
  2. Step 2: Convert to fraction form
    205,472/283,551.36 = 116,048/x
  3. Step 3: Cross multiply
    205,472x = 283,551.36 × 116,048
  4. Step 4: Simplify right side
    205,472x = 32,905,568,225.28
  5. Step 5: Solve for x
    x = 32,905,568,225.28/205,472
  6. Step 6: Final answer
    x = 160,146.24

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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.