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Finding the Fourth Proportional to 222,314.90, 306,971.37 and 205,312.93

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Solution

The fourth proportional to 222,314.90, 306,971.37 and 205,312.93 is: 283,495.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,314.90 : 306,971.37 = 205,312.93 : x
  2. Step 2: Convert to fraction form
    222,314.90/306,971.37 = 205,312.93/x
  3. Step 3: Cross multiply
    222,314.90x = 306,971.37 × 205,312.93
  4. Step 4: Simplify right side
    222,314.90x = 63,025,190,633.39
  5. Step 5: Solve for x
    x = 63,025,190,633.39/222,314.90
  6. Step 6: Final answer
    x = 283,495.13

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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.