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Finding the Fourth Proportional to 132,099.40, 198,149.10 and 105,855.40

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Solution

The fourth proportional to 132,099.40, 198,149.10 and 105,855.40 is: 158,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,099.40 : 198,149.10 = 105,855.40 : x
  2. Step 2: Convert to fraction form
    132,099.40/198,149.10 = 105,855.40/x
  3. Step 3: Cross multiply
    132,099.40x = 198,149.10 × 105,855.40
  4. Step 4: Simplify right side
    132,099.40x = 20,975,152,240.14
  5. Step 5: Solve for x
    x = 20,975,152,240.14/132,099.40
  6. Step 6: Final answer
    x = 158,783.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.