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Finding the Fourth Proportional to 98,093.80, 147,235.74 and 92,765.80

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Solution

The fourth proportional to 98,093.80, 147,235.74 and 92,765.80 is: 139,238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,093.80 : 147,235.74 = 92,765.80 : x
  2. Step 2: Convert to fraction form
    98,093.80/147,235.74 = 92,765.80/x
  3. Step 3: Cross multiply
    98,093.80x = 147,235.74 × 92,765.80
  4. Step 4: Simplify right side
    98,093.80x = 13,658,441,209.69
  5. Step 5: Solve for x
    x = 13,658,441,209.69/98,093.80
  6. Step 6: Final answer
    x = 139,238.58

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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.