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Finding the Fourth Proportional to 223,873.54, 308,943.93 and 123,271.54

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Solution

The fourth proportional to 223,873.54, 308,943.93 and 123,271.54 is: 170,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,873.54 : 308,943.93 = 123,271.54 : x
  2. Step 2: Convert to fraction form
    223,873.54/308,943.93 = 123,271.54/x
  3. Step 3: Cross multiply
    223,873.54x = 308,943.93 × 123,271.54
  4. Step 4: Simplify right side
    223,873.54x = 38,083,994,024.75
  5. Step 5: Solve for x
    x = 38,083,994,024.75/223,873.54
  6. Step 6: Final answer
    x = 170,113.87

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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.