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Finding the Fourth Proportional to 213,406.10, 294,499.81 and 117,912.11

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Solution

The fourth proportional to 213,406.10, 294,499.81 and 117,912.11 is: 162,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,406.10 : 294,499.81 = 117,912.11 : x
  2. Step 2: Convert to fraction form
    213,406.10/294,499.81 = 117,912.11/x
  3. Step 3: Cross multiply
    213,406.10x = 294,499.81 × 117,912.11
  4. Step 4: Simplify right side
    213,406.10x = 34,725,094,727.95
  5. Step 5: Solve for x
    x = 34,725,094,727.95/213,406.10
  6. Step 6: Final answer
    x = 162,718.38

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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.