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Finding the Fourth Proportional to 197,812.84, 296,765.94 and 64,692.58

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Solution

The fourth proportional to 197,812.84, 296,765.94 and 64,692.58 is: 97,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,812.84 : 296,765.94 = 64,692.58 : x
  2. Step 2: Convert to fraction form
    197,812.84/296,765.94 = 64,692.58/x
  3. Step 3: Cross multiply
    197,812.84x = 296,765.94 × 64,692.58
  4. Step 4: Simplify right side
    197,812.84x = 19,198,554,314.73
  5. Step 5: Solve for x
    x = 19,198,554,314.73/197,812.84
  6. Step 6: Final answer
    x = 97,054.14

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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.