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Finding the Fourth Proportional to 223,894.63, 308,974.59 and 123,292.63

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Solution

The fourth proportional to 223,894.63, 308,974.59 and 123,292.63 is: 170,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,894.63 : 308,974.59 = 123,292.63 : x
  2. Step 2: Convert to fraction form
    223,894.63/308,974.59 = 123,292.63/x
  3. Step 3: Cross multiply
    223,894.63x = 308,974.59 × 123,292.63
  4. Step 4: Simplify right side
    223,894.63x = 38,094,287,642.94
  5. Step 5: Solve for x
    x = 38,094,287,642.94/223,894.63
  6. Step 6: Final answer
    x = 170,143.82

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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.