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Finding the Fourth Proportional to 319,227.43, 478,736.95 and 105,938.05

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Solution

The fourth proportional to 319,227.43, 478,736.95 and 105,938.05 is: 158,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,227.43 : 478,736.95 = 105,938.05 : x
  2. Step 2: Convert to fraction form
    319,227.43/478,736.95 = 105,938.05/x
  3. Step 3: Cross multiply
    319,227.43x = 478,736.95 × 105,938.05
  4. Step 4: Simplify right side
    319,227.43x = 50,716,458,945.95
  5. Step 5: Solve for x
    x = 50,716,458,945.95/319,227.43
  6. Step 6: Final answer
    x = 158,872.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.