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Finding the Fourth Proportional to 221,263.50, 305,366.67 and 136,378.38

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Solution

The fourth proportional to 221,263.50, 305,366.67 and 136,378.38 is: 188,216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,263.50 : 305,366.67 = 136,378.38 : x
  2. Step 2: Convert to fraction form
    221,263.50/305,366.67 = 136,378.38/x
  3. Step 3: Cross multiply
    221,263.50x = 305,366.67 × 136,378.38
  4. Step 4: Simplify right side
    221,263.50x = 41,645,411,760.59
  5. Step 5: Solve for x
    x = 41,645,411,760.59/221,263.50
  6. Step 6: Final answer
    x = 188,216.37

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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.