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Finding the Fourth Proportional to 98,676.72, 148,063.68 and 46,078.56

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Solution

The fourth proportional to 98,676.72, 148,063.68 and 46,078.56 is: 69,140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,676.72 : 148,063.68 = 46,078.56 : x
  2. Step 2: Convert to fraction form
    98,676.72/148,063.68 = 46,078.56/x
  3. Step 3: Cross multiply
    98,676.72x = 148,063.68 × 46,078.56
  4. Step 4: Simplify right side
    98,676.72x = 6,822,561,162.70
  5. Step 5: Solve for x
    x = 6,822,561,162.70/98,676.72
  6. Step 6: Final answer
    x = 69,140.53

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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.