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Finding the Fourth Proportional to 213,012.94, 293,957.52 and 116,216.80

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Solution

The fourth proportional to 213,012.94, 293,957.52 and 116,216.80 is: 160,379.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,012.94 : 293,957.52 = 116,216.80 : x
  2. Step 2: Convert to fraction form
    213,012.94/293,957.52 = 116,216.80/x
  3. Step 3: Cross multiply
    213,012.94x = 293,957.52 × 116,216.80
  4. Step 4: Simplify right side
    213,012.94x = 34,162,802,310.34
  5. Step 5: Solve for x
    x = 34,162,802,310.34/213,012.94
  6. Step 6: Final answer
    x = 160,379.00

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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.