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Finding the Fourth Proportional to 301,195.85, 415,653.46 and 165,230.06

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Solution

The fourth proportional to 301,195.85, 415,653.46 and 165,230.06 is: 228,019.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,195.85 : 415,653.46 = 165,230.06 : x
  2. Step 2: Convert to fraction form
    301,195.85/415,653.46 = 165,230.06/x
  3. Step 3: Cross multiply
    301,195.85x = 415,653.46 × 165,230.06
  4. Step 4: Simplify right side
    301,195.85x = 68,678,443,643.67
  5. Step 5: Solve for x
    x = 68,678,443,643.67/301,195.85
  6. Step 6: Final answer
    x = 228,019.23

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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.