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Finding the Fourth Proportional to 98,146.98, 147,249.96 and 30,676.29

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Solution

The fourth proportional to 98,146.98, 147,249.96 and 30,676.29 is: 46,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,146.98 : 147,249.96 = 30,676.29 : x
  2. Step 2: Convert to fraction form
    98,146.98/147,249.96 = 30,676.29/x
  3. Step 3: Cross multiply
    98,146.98x = 147,249.96 × 30,676.29
  4. Step 4: Simplify right side
    98,146.98x = 4,517,082,475.45
  5. Step 5: Solve for x
    x = 4,517,082,475.45/98,146.98
  6. Step 6: Final answer
    x = 46,023.65

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1.5x scale

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.