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Finding the Fourth Proportional to 122,674.74, 183,777.48 and 102,811.32

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Solution

The fourth proportional to 122,674.74, 183,777.48 and 102,811.32 is: 154,020.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,674.74 : 183,777.48 = 102,811.32 : x
  2. Step 2: Convert to fraction form
    122,674.74/183,777.48 = 102,811.32/x
  3. Step 3: Cross multiply
    122,674.74x = 183,777.48 × 102,811.32
  4. Step 4: Simplify right side
    122,674.74x = 18,894,405,305.07
  5. Step 5: Solve for x
    x = 18,894,405,305.07/122,674.74
  6. Step 6: Final answer
    x = 154,020.34

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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.