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Finding the Fourth Proportional to 120,176.43, 165,842.03 and 66,460.28

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Solution

The fourth proportional to 120,176.43, 165,842.03 and 66,460.28 is: 91,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,176.43 : 165,842.03 = 66,460.28 : x
  2. Step 2: Convert to fraction form
    120,176.43/165,842.03 = 66,460.28/x
  3. Step 3: Cross multiply
    120,176.43x = 165,842.03 × 66,460.28
  4. Step 4: Simplify right side
    120,176.43x = 11,021,907,086.51
  5. Step 5: Solve for x
    x = 11,021,907,086.51/120,176.43
  6. Step 6: Final answer
    x = 91,714.39

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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.