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Finding the Fourth Proportional to 275,776.90, 413,754.48 and 135,437.10

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Solution

The fourth proportional to 275,776.90, 413,754.48 and 135,437.10 is: 203,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,776.90 : 413,754.48 = 135,437.10 : x
  2. Step 2: Convert to fraction form
    275,776.90/413,754.48 = 135,437.10/x
  3. Step 3: Cross multiply
    275,776.90x = 413,754.48 × 135,437.10
  4. Step 4: Simplify right side
    275,776.90x = 56,037,706,883.21
  5. Step 5: Solve for x
    x = 56,037,706,883.21/275,776.90
  6. Step 6: Final answer
    x = 203,199.42

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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.