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Finding the Fourth Proportional to 98,170.25, 147,255.37 and 28,049.56

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Solution

The fourth proportional to 98,170.25, 147,255.37 and 28,049.56 is: 42,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,170.25 : 147,255.37 = 28,049.56 : x
  2. Step 2: Convert to fraction form
    98,170.25/147,255.37 = 28,049.56/x
  3. Step 3: Cross multiply
    98,170.25x = 147,255.37 × 28,049.56
  4. Step 4: Simplify right side
    98,170.25x = 4,130,447,897.87
  5. Step 5: Solve for x
    x = 4,130,447,897.87/98,170.25
  6. Step 6: Final answer
    x = 42,074.34

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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.