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Finding the Fourth Proportional to 213,146.87, 294,142.71 and 117,653.58

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Solution

The fourth proportional to 213,146.87, 294,142.71 and 117,653.58 is: 162,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,146.87 : 294,142.71 = 117,653.58 : x
  2. Step 2: Convert to fraction form
    213,146.87/294,142.71 = 117,653.58/x
  3. Step 3: Cross multiply
    213,146.87x = 294,142.71 × 117,653.58
  4. Step 4: Simplify right side
    213,146.87x = 34,606,942,862.40
  5. Step 5: Solve for x
    x = 34,606,942,862.40/213,146.87
  6. Step 6: Final answer
    x = 162,361.96

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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.