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Finding the Fourth Proportional to 197,294.40, 296,063.10 and 85,028.40

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Solution

The fourth proportional to 197,294.40, 296,063.10 and 85,028.40 is: 127,594.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,294.40 : 296,063.10 = 85,028.40 : x
  2. Step 2: Convert to fraction form
    197,294.40/296,063.10 = 85,028.40/x
  3. Step 3: Cross multiply
    197,294.40x = 296,063.10 × 85,028.40
  4. Step 4: Simplify right side
    197,294.40x = 25,173,771,692.04
  5. Step 5: Solve for x
    x = 25,173,771,692.04/197,294.40
  6. Step 6: Final answer
    x = 127,594.96

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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.