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Finding the Fourth Proportional to 105,954.28, 146,346.42 and 79,215.64

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Solution

The fourth proportional to 105,954.28, 146,346.42 and 79,215.64 is: 109,414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,954.28 : 146,346.42 = 79,215.64 : x
  2. Step 2: Convert to fraction form
    105,954.28/146,346.42 = 79,215.64/x
  3. Step 3: Cross multiply
    105,954.28x = 146,346.42 × 79,215.64
  4. Step 4: Simplify right side
    105,954.28x = 11,592,925,322.01
  5. Step 5: Solve for x
    x = 11,592,925,322.01/105,954.28
  6. Step 6: Final answer
    x = 109,414.41

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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.