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Finding the Fourth Proportional to 212,357.94, 293,054 and 116,864.63

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Solution

The fourth proportional to 212,357.94, 293,054 and 116,864.63 is: 161,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,357.94 : 293,054 = 116,864.63 : x
  2. Step 2: Convert to fraction form
    212,357.94/293,054 = 116,864.63/x
  3. Step 3: Cross multiply
    212,357.94x = 293,054 × 116,864.63
  4. Step 4: Simplify right side
    212,357.94x = 34,247,647,280.02
  5. Step 5: Solve for x
    x = 34,247,647,280.02/212,357.94
  6. Step 6: Final answer
    x = 161,273.21

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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.