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Finding the Fourth Proportional to 192,464.96, 265,596.96 and 107,592

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Solution

The fourth proportional to 192,464.96, 265,596.96 and 107,592 is: 148,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,464.96 : 265,596.96 = 107,592 : x
  2. Step 2: Convert to fraction form
    192,464.96/265,596.96 = 107,592/x
  3. Step 3: Cross multiply
    192,464.96x = 265,596.96 × 107,592
  4. Step 4: Simplify right side
    192,464.96x = 28,576,108,120.32
  5. Step 5: Solve for x
    x = 28,576,108,120.32/192,464.96
  6. Step 6: Final answer
    x = 148,474.34

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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.