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Finding the Fourth Proportional to 216,004.40, 323,963.40 and 103,684.40

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Solution

The fourth proportional to 216,004.40, 323,963.40 and 103,684.40 is: 155,505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,004.40 : 323,963.40 = 103,684.40 : x
  2. Step 2: Convert to fraction form
    216,004.40/323,963.40 = 103,684.40/x
  3. Step 3: Cross multiply
    216,004.40x = 323,963.40 × 103,684.40
  4. Step 4: Simplify right side
    216,004.40x = 33,589,950,750.96
  5. Step 5: Solve for x
    x = 33,589,950,750.96/216,004.40
  6. Step 6: Final answer
    x = 155,505.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.