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Finding the Fourth Proportional to 301,522.14, 416,108.48 and 165,564.86

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Solution

The fourth proportional to 301,522.14, 416,108.48 and 165,564.86 is: 228,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,522.14 : 416,108.48 = 165,564.86 : x
  2. Step 2: Convert to fraction form
    301,522.14/416,108.48 = 165,564.86/x
  3. Step 3: Cross multiply
    301,522.14x = 416,108.48 × 165,564.86
  4. Step 4: Simplify right side
    301,522.14x = 68,892,939,327.65
  5. Step 5: Solve for x
    x = 68,892,939,327.65/301,522.14
  6. Step 6: Final answer
    x = 228,483.85

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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.