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Finding the Fourth Proportional to 199,670.90, 299,117.55 and 110,765.30

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Solution

The fourth proportional to 199,670.90, 299,117.55 and 110,765.30 is: 165,932.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,670.90 : 299,117.55 = 110,765.30 : x
  2. Step 2: Convert to fraction form
    199,670.90/299,117.55 = 110,765.30/x
  3. Step 3: Cross multiply
    199,670.90x = 299,117.55 × 110,765.30
  4. Step 4: Simplify right side
    199,670.90x = 33,131,845,161.02
  5. Step 5: Solve for x
    x = 33,131,845,161.02/199,670.90
  6. Step 6: Final answer
    x = 165,932.27

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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.