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Finding the Fourth Proportional to 212,208.50, 318,245.13 and 70,027.28

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Solution

The fourth proportional to 212,208.50, 318,245.13 and 70,027.28 is: 105,018.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,208.50 : 318,245.13 = 70,027.28 : x
  2. Step 2: Convert to fraction form
    212,208.50/318,245.13 = 70,027.28/x
  3. Step 3: Cross multiply
    212,208.50x = 318,245.13 × 70,027.28
  4. Step 4: Simplify right side
    212,208.50x = 22,285,838,885.78
  5. Step 5: Solve for x
    x = 22,285,838,885.78/212,208.50
  6. Step 6: Final answer
    x = 105,018.60

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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.