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Finding the Fourth Proportional to 265,071.96, 365,295.42 and 189,489.24

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Solution

The fourth proportional to 265,071.96, 365,295.42 and 189,489.24 is: 261,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,071.96 : 365,295.42 = 189,489.24 : x
  2. Step 2: Convert to fraction form
    265,071.96/365,295.42 = 189,489.24/x
  3. Step 3: Cross multiply
    265,071.96x = 365,295.42 × 189,489.24
  4. Step 4: Simplify right side
    265,071.96x = 69,219,551,511.28
  5. Step 5: Solve for x
    x = 69,219,551,511.28/265,071.96
  6. Step 6: Final answer
    x = 261,134.94

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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.