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Finding the Fourth Proportional to 146,527.20, 202,208.82 and 79,459.20

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Solution

The fourth proportional to 146,527.20, 202,208.82 and 79,459.20 is: 109,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,527.20 : 202,208.82 = 79,459.20 : x
  2. Step 2: Convert to fraction form
    146,527.20/202,208.82 = 79,459.20/x
  3. Step 3: Cross multiply
    146,527.20x = 202,208.82 × 79,459.20
  4. Step 4: Simplify right side
    146,527.20x = 16,067,351,070.14
  5. Step 5: Solve for x
    x = 16,067,351,070.14/146,527.20
  6. Step 6: Final answer
    x = 109,654.39

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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.