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Finding the Fourth Proportional to 192,006.36, 264,969.54 and 107,127

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Solution

The fourth proportional to 192,006.36, 264,969.54 and 107,127 is: 147,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,006.36 : 264,969.54 = 107,127 : x
  2. Step 2: Convert to fraction form
    192,006.36/264,969.54 = 107,127/x
  3. Step 3: Cross multiply
    192,006.36x = 264,969.54 × 107,127
  4. Step 4: Simplify right side
    192,006.36x = 28,385,391,911.58
  5. Step 5: Solve for x
    x = 28,385,391,911.58/192,006.36
  6. Step 6: Final answer
    x = 147,835.69

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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.