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Finding the Fourth Proportional to 195,523.58, 269,821.58 and 106,099.58

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Solution

The fourth proportional to 195,523.58, 269,821.58 and 106,099.58 is: 146,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,523.58 : 269,821.58 = 106,099.58 : x
  2. Step 2: Convert to fraction form
    195,523.58/269,821.58 = 106,099.58/x
  3. Step 3: Cross multiply
    195,523.58x = 269,821.58 × 106,099.58
  4. Step 4: Simplify right side
    195,523.58x = 28,627,956,312.94
  5. Step 5: Solve for x
    x = 28,627,956,312.94/195,523.58
  6. Step 6: Final answer
    x = 146,416.90

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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.