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Finding the Fourth Proportional to 296,692.12, 445,065.54 and 97,013.54

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Solution

The fourth proportional to 296,692.12, 445,065.54 and 97,013.54 is: 145,529.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,692.12 : 445,065.54 = 97,013.54 : x
  2. Step 2: Convert to fraction form
    296,692.12/445,065.54 = 97,013.54/x
  3. Step 3: Cross multiply
    296,692.12x = 445,065.54 × 97,013.54
  4. Step 4: Simplify right side
    296,692.12x = 43,177,383,567.41
  5. Step 5: Solve for x
    x = 43,177,383,567.41/296,692.12
  6. Step 6: Final answer
    x = 145,529.26

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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.