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Finding the Fourth Proportional to 132,122.10, 197,855.10 and 105,878.10

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Solution

The fourth proportional to 132,122.10, 197,855.10 and 105,878.10 is: 158,554.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,122.10 : 197,855.10 = 105,878.10 : x
  2. Step 2: Convert to fraction form
    132,122.10/197,855.10 = 105,878.10/x
  3. Step 3: Cross multiply
    132,122.10x = 197,855.10 × 105,878.10
  4. Step 4: Simplify right side
    132,122.10x = 20,948,522,063.31
  5. Step 5: Solve for x
    x = 20,948,522,063.31/132,122.10
  6. Step 6: Final answer
    x = 158,554.26

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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.