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Finding the Fourth Proportional to 213,141.49, 294,135.29 and 117,648.22

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Solution

The fourth proportional to 213,141.49, 294,135.29 and 117,648.22 is: 162,354.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,141.49 : 294,135.29 = 117,648.22 : x
  2. Step 2: Convert to fraction form
    213,141.49/294,135.29 = 117,648.22/x
  3. Step 3: Cross multiply
    213,141.49x = 294,135.29 × 117,648.22
  4. Step 4: Simplify right side
    213,141.49x = 34,604,492,719.44
  5. Step 5: Solve for x
    x = 34,604,492,719.44/213,141.49
  6. Step 6: Final answer
    x = 162,354.56

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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.