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Finding the Fourth Proportional to 212,872.94, 293,749.62 and 117,377.60

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Solution

The fourth proportional to 212,872.94, 293,749.62 and 117,377.60 is: 161,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,872.94 : 293,749.62 = 117,377.60 : x
  2. Step 2: Convert to fraction form
    212,872.94/293,749.62 = 117,377.60/x
  3. Step 3: Cross multiply
    212,872.94x = 293,749.62 × 117,377.60
  4. Step 4: Simplify right side
    212,872.94x = 34,479,625,396.51
  5. Step 5: Solve for x
    x = 34,479,625,396.51/212,872.94
  6. Step 6: Final answer
    x = 161,972.80

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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.