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Finding the Fourth Proportional to 213,146.49, 294,142.19 and 117,653.22

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Solution

The fourth proportional to 213,146.49, 294,142.19 and 117,653.22 is: 162,361.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,146.49 : 294,142.19 = 117,653.22 : x
  2. Step 2: Convert to fraction form
    213,146.49/294,142.19 = 117,653.22/x
  3. Step 3: Cross multiply
    213,146.49x = 294,142.19 × 117,653.22
  4. Step 4: Simplify right side
    213,146.49x = 34,606,775,203.09
  5. Step 5: Solve for x
    x = 34,606,775,203.09/213,146.49
  6. Step 6: Final answer
    x = 162,361.46

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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.