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Finding the Fourth Proportional to 223,716.46, 308,728.76 and 123,114.46

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Solution

The fourth proportional to 223,716.46, 308,728.76 and 123,114.46 is: 169,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,716.46 : 308,728.76 = 123,114.46 : x
  2. Step 2: Convert to fraction form
    223,716.46/308,728.76 = 123,114.46/x
  3. Step 3: Cross multiply
    223,716.46x = 308,728.76 × 123,114.46
  4. Step 4: Simplify right side
    223,716.46x = 38,008,974,573.87
  5. Step 5: Solve for x
    x = 38,008,974,573.87/223,716.46
  6. Step 6: Final answer
    x = 169,897.98

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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.