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Finding the Fourth Proportional to 277,620.68, 416,602.34 and 109,111.42

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Solution

The fourth proportional to 277,620.68, 416,602.34 and 109,111.42 is: 163,734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,620.68 : 416,602.34 = 109,111.42 : x
  2. Step 2: Convert to fraction form
    277,620.68/416,602.34 = 109,111.42/x
  3. Step 3: Cross multiply
    277,620.68x = 416,602.34 × 109,111.42
  4. Step 4: Simplify right side
    277,620.68x = 45,456,073,277.09
  5. Step 5: Solve for x
    x = 45,456,073,277.09/277,620.68
  6. Step 6: Final answer
    x = 163,734.46

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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.