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Finding the Fourth Proportional to 211,590.43, 291,999.89 and 116,097.05

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Solution

The fourth proportional to 211,590.43, 291,999.89 and 116,097.05 is: 160,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,590.43 : 291,999.89 = 116,097.05 : x
  2. Step 2: Convert to fraction form
    211,590.43/291,999.89 = 116,097.05/x
  3. Step 3: Cross multiply
    211,590.43x = 291,999.89 × 116,097.05
  4. Step 4: Simplify right side
    211,590.43x = 33,900,324,554.02
  5. Step 5: Solve for x
    x = 33,900,324,554.02/211,590.43
  6. Step 6: Final answer
    x = 160,216.72

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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.