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Finding the Fourth Proportional to 212,947.70, 319,885.40 and 128,747.54

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Solution

The fourth proportional to 212,947.70, 319,885.40 and 128,747.54 is: 193,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,947.70 : 319,885.40 = 128,747.54 : x
  2. Step 2: Convert to fraction form
    212,947.70/319,885.40 = 128,747.54/x
  3. Step 3: Cross multiply
    212,947.70x = 319,885.40 × 128,747.54
  4. Step 4: Simplify right side
    212,947.70x = 41,184,459,453.50
  5. Step 5: Solve for x
    x = 41,184,459,453.50/212,947.70
  6. Step 6: Final answer
    x = 193,401.76

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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.