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Finding the Fourth Proportional to 223,317.29, 334,970.40 and 54,836.21

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Solution

The fourth proportional to 223,317.29, 334,970.40 and 54,836.21 is: 82,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,317.29 : 334,970.40 = 54,836.21 : x
  2. Step 2: Convert to fraction form
    223,317.29/334,970.40 = 54,836.21/x
  3. Step 3: Cross multiply
    223,317.29x = 334,970.40 × 54,836.21
  4. Step 4: Simplify right side
    223,317.29x = 18,368,507,198.18
  5. Step 5: Solve for x
    x = 18,368,507,198.18/223,317.29
  6. Step 6: Final answer
    x = 82,252.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.