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Finding the Fourth Proportional to 213,997.49, 295,315.96 and 123,352.95

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Solution

The fourth proportional to 213,997.49, 295,315.96 and 123,352.95 is: 170,226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,997.49 : 295,315.96 = 123,352.95 : x
  2. Step 2: Convert to fraction form
    213,997.49/295,315.96 = 123,352.95/x
  3. Step 3: Cross multiply
    213,997.49x = 295,315.96 × 123,352.95
  4. Step 4: Simplify right side
    213,997.49x = 36,428,095,568.24
  5. Step 5: Solve for x
    x = 36,428,095,568.24/213,997.49
  6. Step 6: Final answer
    x = 170,226.74

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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.