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Finding the Fourth Proportional to 254,204.76, 350,819.19 and 146,779.32

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Solution

The fourth proportional to 254,204.76, 350,819.19 and 146,779.32 is: 202,565.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,204.76 : 350,819.19 = 146,779.32 : x
  2. Step 2: Convert to fraction form
    254,204.76/350,819.19 = 146,779.32/x
  3. Step 3: Cross multiply
    254,204.76x = 350,819.19 × 146,779.32
  4. Step 4: Simplify right side
    254,204.76x = 51,493,002,151.15
  5. Step 5: Solve for x
    x = 51,493,002,151.15/254,204.76
  6. Step 6: Final answer
    x = 202,565.06

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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.