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Finding the Fourth Proportional to 191,855.16, 264,761.28 and 106,977.60

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Solution

The fourth proportional to 191,855.16, 264,761.28 and 106,977.60 is: 147,629.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,855.16 : 264,761.28 = 106,977.60 : x
  2. Step 2: Convert to fraction form
    191,855.16/264,761.28 = 106,977.60/x
  3. Step 3: Cross multiply
    191,855.16x = 264,761.28 × 106,977.60
  4. Step 4: Simplify right side
    191,855.16x = 28,323,526,307.33
  5. Step 5: Solve for x
    x = 28,323,526,307.33/191,855.16
  6. Step 6: Final answer
    x = 147,629.73

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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.