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Finding the Fourth Proportional to 213,679.66, 294,858.10 and 118,184.31

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Solution

The fourth proportional to 213,679.66, 294,858.10 and 118,184.31 is: 163,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,679.66 : 294,858.10 = 118,184.31 : x
  2. Step 2: Convert to fraction form
    213,679.66/294,858.10 = 118,184.31/x
  3. Step 3: Cross multiply
    213,679.66x = 294,858.10 × 118,184.31
  4. Step 4: Simplify right side
    213,679.66x = 34,847,601,096.41
  5. Step 5: Solve for x
    x = 34,847,601,096.41/213,679.66
  6. Step 6: Final answer
    x = 163,083.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.