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Finding the Fourth Proportional to 227,426.54, 313,949.49 and 146,893.34

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Solution

The fourth proportional to 227,426.54, 313,949.49 and 146,893.34 is: 202,777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,426.54 : 313,949.49 = 146,893.34 : x
  2. Step 2: Convert to fraction form
    227,426.54/313,949.49 = 146,893.34/x
  3. Step 3: Cross multiply
    227,426.54x = 313,949.49 × 146,893.34
  4. Step 4: Simplify right side
    227,426.54x = 46,117,087,607.65
  5. Step 5: Solve for x
    x = 46,117,087,607.65/227,426.54
  6. Step 6: Final answer
    x = 202,777.95

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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.