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Finding the Fourth Proportional to 213,044.41, 294,000.51 and 117,550.63

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Solution

The fourth proportional to 213,044.41, 294,000.51 and 117,550.63 is: 162,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,044.41 : 294,000.51 = 117,550.63 : x
  2. Step 2: Convert to fraction form
    213,044.41/294,000.51 = 117,550.63/x
  3. Step 3: Cross multiply
    213,044.41x = 294,000.51 × 117,550.63
  4. Step 4: Simplify right side
    213,044.41x = 34,559,945,170.82
  5. Step 5: Solve for x
    x = 34,559,945,170.82/213,044.41
  6. Step 6: Final answer
    x = 162,219.44

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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.