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Finding the Fourth Proportional to 254,205.76, 350,820.58 and 146,780.32

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Solution

The fourth proportional to 254,205.76, 350,820.58 and 146,780.32 is: 202,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,205.76 : 350,820.58 = 146,780.32 : x
  2. Step 2: Convert to fraction form
    254,205.76/350,820.58 = 146,780.32/x
  3. Step 3: Cross multiply
    254,205.76x = 350,820.58 × 146,780.32
  4. Step 4: Simplify right side
    254,205.76x = 51,493,556,994.99
  5. Step 5: Solve for x
    x = 51,493,556,994.99/254,205.76
  6. Step 6: Final answer
    x = 202,566.44

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1.5x scale

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.