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Finding the Fourth Proportional to 165,762.86, 248,644.08 and 76,967.82

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Solution

The fourth proportional to 165,762.86, 248,644.08 and 76,967.82 is: 115,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,762.86 : 248,644.08 = 76,967.82 : x
  2. Step 2: Convert to fraction form
    165,762.86/248,644.08 = 76,967.82/x
  3. Step 3: Cross multiply
    165,762.86x = 248,644.08 × 76,967.82
  4. Step 4: Simplify right side
    165,762.86x = 19,137,592,793.51
  5. Step 5: Solve for x
    x = 19,137,592,793.51/165,762.86
  6. Step 6: Final answer
    x = 115,451.64

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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.