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Finding the Fourth Proportional to 183,096.48, 274,738.88 and 138,708.48

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Solution

The fourth proportional to 183,096.48, 274,738.88 and 138,708.48 is: 208,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,096.48 : 274,738.88 = 138,708.48 : x
  2. Step 2: Convert to fraction form
    183,096.48/274,738.88 = 138,708.48/x
  3. Step 3: Cross multiply
    183,096.48x = 274,738.88 × 138,708.48
  4. Step 4: Simplify right side
    183,096.48x = 38,108,612,441.70
  5. Step 5: Solve for x
    x = 38,108,612,441.70/183,096.48
  6. Step 6: Final answer
    x = 208,134.05

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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.