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Finding the Fourth Proportional to 212,996.82, 293,933.97 and 117,507.54

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Solution

The fourth proportional to 212,996.82, 293,933.97 and 117,507.54 is: 162,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,996.82 : 293,933.97 = 117,507.54 : x
  2. Step 2: Convert to fraction form
    212,996.82/293,933.97 = 117,507.54/x
  3. Step 3: Cross multiply
    212,996.82x = 293,933.97 × 117,507.54
  4. Step 4: Simplify right side
    212,996.82x = 34,539,457,737.13
  5. Step 5: Solve for x
    x = 34,539,457,737.13/212,996.82
  6. Step 6: Final answer
    x = 162,159.50

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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.