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Finding the Fourth Proportional to 223,167.38, 334,752.89 and 82,926

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Solution

The fourth proportional to 223,167.38, 334,752.89 and 82,926 is: 124,389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,167.38 : 334,752.89 = 82,926 : x
  2. Step 2: Convert to fraction form
    223,167.38/334,752.89 = 82,926/x
  3. Step 3: Cross multiply
    223,167.38x = 334,752.89 × 82,926
  4. Step 4: Simplify right side
    223,167.38x = 27,759,717,741.51
  5. Step 5: Solve for x
    x = 27,759,717,741.51/223,167.38
  6. Step 6: Final answer
    x = 124,389.68

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