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Finding the Fourth Proportional to 260,692.50, 390,170.84 and 197,162.58

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Solution

The fourth proportional to 260,692.50, 390,170.84 and 197,162.58 is: 295,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,692.50 : 390,170.84 = 197,162.58 : x
  2. Step 2: Convert to fraction form
    260,692.50/390,170.84 = 197,162.58/x
  3. Step 3: Cross multiply
    260,692.50x = 390,170.84 × 197,162.58
  4. Step 4: Simplify right side
    260,692.50x = 76,927,088,469.35
  5. Step 5: Solve for x
    x = 76,927,088,469.35/260,692.50
  6. Step 6: Final answer
    x = 295,087.46

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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.