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Finding the Fourth Proportional to 201,251.86, 277,734.23 and 110,611.06

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Solution

The fourth proportional to 201,251.86, 277,734.23 and 110,611.06 is: 152,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,251.86 : 277,734.23 = 110,611.06 : x
  2. Step 2: Convert to fraction form
    201,251.86/277,734.23 = 110,611.06/x
  3. Step 3: Cross multiply
    201,251.86x = 277,734.23 × 110,611.06
  4. Step 4: Simplify right side
    201,251.86x = 30,720,477,578.58
  5. Step 5: Solve for x
    x = 30,720,477,578.58/201,251.86
  6. Step 6: Final answer
    x = 152,646.92

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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.