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Finding the Fourth Proportional to 212,996.96, 293,950.32 and 123,572.96

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Solution

The fourth proportional to 212,996.96, 293,950.32 and 123,572.96 is: 170,539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,996.96 : 293,950.32 = 123,572.96 : x
  2. Step 2: Convert to fraction form
    212,996.96/293,950.32 = 123,572.96/x
  3. Step 3: Cross multiply
    212,996.96x = 293,950.32 × 123,572.96
  4. Step 4: Simplify right side
    212,996.96x = 36,324,311,135.35
  5. Step 5: Solve for x
    x = 36,324,311,135.35/212,996.96
  6. Step 6: Final answer
    x = 170,539.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.