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Finding the Fourth Proportional to 281,302.24, 421,952.10 and 115,090.24

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Solution

The fourth proportional to 281,302.24, 421,952.10 and 115,090.24 is: 172,634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,302.24 : 421,952.10 = 115,090.24 : x
  2. Step 2: Convert to fraction form
    281,302.24/421,952.10 = 115,090.24/x
  3. Step 3: Cross multiply
    281,302.24x = 421,952.10 × 115,090.24
  4. Step 4: Simplify right side
    281,302.24x = 48,562,568,457.50
  5. Step 5: Solve for x
    x = 48,562,568,457.50/281,302.24
  6. Step 6: Final answer
    x = 172,634.84

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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.