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Finding the Fourth Proportional to 223,969.84, 309,078.39 and 123,367.84

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Solution

The fourth proportional to 223,969.84, 309,078.39 and 123,367.84 is: 170,247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,969.84 : 309,078.39 = 123,367.84 : x
  2. Step 2: Convert to fraction form
    223,969.84/309,078.39 = 123,367.84/x
  3. Step 3: Cross multiply
    223,969.84x = 309,078.39 × 123,367.84
  4. Step 4: Simplify right side
    223,969.84x = 38,130,333,364.98
  5. Step 5: Solve for x
    x = 38,130,333,364.98/223,969.84
  6. Step 6: Final answer
    x = 170,247.63

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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.