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Finding the Fourth Proportional to 271,584.12, 407,129.94 and 146,779.32

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Solution

The fourth proportional to 271,584.12, 407,129.94 and 146,779.32 is: 220,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,584.12 : 407,129.94 = 146,779.32 : x
  2. Step 2: Convert to fraction form
    271,584.12/407,129.94 = 146,779.32/x
  3. Step 3: Cross multiply
    271,584.12x = 407,129.94 × 146,779.32
  4. Step 4: Simplify right side
    271,584.12x = 59,758,255,744.84
  5. Step 5: Solve for x
    x = 59,758,255,744.84/271,584.12
  6. Step 6: Final answer
    x = 220,035.90

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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.