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Finding the Fourth Proportional to 211,814.25, 292,230.59 and 135,378.08

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Solution

The fourth proportional to 211,814.25, 292,230.59 and 135,378.08 is: 186,775.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,814.25 : 292,230.59 = 135,378.08 : x
  2. Step 2: Convert to fraction form
    211,814.25/292,230.59 = 135,378.08/x
  3. Step 3: Cross multiply
    211,814.25x = 292,230.59 × 135,378.08
  4. Step 4: Simplify right side
    211,814.25x = 39,561,616,245.15
  5. Step 5: Solve for x
    x = 39,561,616,245.15/211,814.25
  6. Step 6: Final answer
    x = 186,775.05

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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.