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Finding the Fourth Proportional to 178,231, 245,958.78 and 106,614.04

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Solution

The fourth proportional to 178,231, 245,958.78 and 106,614.04 is: 147,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,231 : 245,958.78 = 106,614.04 : x
  2. Step 2: Convert to fraction form
    178,231/245,958.78 = 106,614.04/x
  3. Step 3: Cross multiply
    178,231x = 245,958.78 × 106,614.04
  4. Step 4: Simplify right side
    178,231x = 26,222,659,209.27
  5. Step 5: Solve for x
    x = 26,222,659,209.27/178,231
  6. Step 6: Final answer
    x = 147,127.38

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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.