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Finding the Fourth Proportional to 165,762.54, 248,717.32 and 86,858.01

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Solution

The fourth proportional to 165,762.54, 248,717.32 and 86,858.01 is: 130,325.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,762.54 : 248,717.32 = 86,858.01 : x
  2. Step 2: Convert to fraction form
    165,762.54/248,717.32 = 86,858.01/x
  3. Step 3: Cross multiply
    165,762.54x = 248,717.32 × 86,858.01
  4. Step 4: Simplify right side
    165,762.54x = 21,603,091,467.73
  5. Step 5: Solve for x
    x = 21,603,091,467.73/165,762.54
  6. Step 6: Final answer
    x = 130,325.53

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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.