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Finding the Fourth Proportional to 270,467.20, 405,700.80 and 158,492.80

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Solution

The fourth proportional to 270,467.20, 405,700.80 and 158,492.80 is: 237,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,467.20 : 405,700.80 = 158,492.80 : x
  2. Step 2: Convert to fraction form
    270,467.20/405,700.80 = 158,492.80/x
  3. Step 3: Cross multiply
    270,467.20x = 405,700.80 × 158,492.80
  4. Step 4: Simplify right side
    270,467.20x = 64,300,655,754.24
  5. Step 5: Solve for x
    x = 64,300,655,754.24/270,467.20
  6. Step 6: Final answer
    x = 237,739.20

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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.