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Finding the Fourth Proportional to 213,736.84, 294,738.42 and 142,128.52

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Solution

The fourth proportional to 213,736.84, 294,738.42 and 142,128.52 is: 195,992.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,736.84 : 294,738.42 = 142,128.52 : x
  2. Step 2: Convert to fraction form
    213,736.84/294,738.42 = 142,128.52/x
  3. Step 3: Cross multiply
    213,736.84x = 294,738.42 × 142,128.52
  4. Step 4: Simplify right side
    213,736.84x = 41,890,735,421.74
  5. Step 5: Solve for x
    x = 41,890,735,421.74/213,736.84
  6. Step 6: Final answer
    x = 195,992.12

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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.