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Finding the Fourth Proportional to 202,633, 279,633.54 and 113,226.28

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Solution

The fourth proportional to 202,633, 279,633.54 and 113,226.28 is: 156,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,633 : 279,633.54 = 113,226.28 : x
  2. Step 2: Convert to fraction form
    202,633/279,633.54 = 113,226.28/x
  3. Step 3: Cross multiply
    202,633x = 279,633.54 × 113,226.28
  4. Step 4: Simplify right side
    202,633x = 31,661,865,497.43
  5. Step 5: Solve for x
    x = 31,661,865,497.43/202,633
  6. Step 6: Final answer
    x = 156,252.27

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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.