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Finding the Fourth Proportional to 212,208, 318,244.37 and 70,026.78

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Solution

The fourth proportional to 212,208, 318,244.37 and 70,026.78 is: 105,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,208 : 318,244.37 = 70,026.78 : x
  2. Step 2: Convert to fraction form
    212,208/318,244.37 = 70,026.78/x
  3. Step 3: Cross multiply
    212,208x = 318,244.37 × 70,026.78
  4. Step 4: Simplify right side
    212,208x = 22,285,628,484.23
  5. Step 5: Solve for x
    x = 22,285,628,484.23/212,208
  6. Step 6: Final answer
    x = 105,017.85

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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.