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Finding the Fourth Proportional to 229,635.53, 317,051.66 and 205,361.18

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Solution

The fourth proportional to 229,635.53, 317,051.66 and 205,361.18 is: 283,536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,635.53 : 317,051.66 = 205,361.18 : x
  2. Step 2: Convert to fraction form
    229,635.53/317,051.66 = 205,361.18/x
  3. Step 3: Cross multiply
    229,635.53x = 317,051.66 × 205,361.18
  4. Step 4: Simplify right side
    229,635.53x = 65,110,103,018.56
  5. Step 5: Solve for x
    x = 65,110,103,018.56/229,635.53
  6. Step 6: Final answer
    x = 283,536.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.