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Finding the Fourth Proportional to 275,276.10, 412,914.15 and 181,101.45

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Solution

The fourth proportional to 275,276.10, 412,914.15 and 181,101.45 is: 271,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,276.10 : 412,914.15 = 181,101.45 : x
  2. Step 2: Convert to fraction form
    275,276.10/412,914.15 = 181,101.45/x
  3. Step 3: Cross multiply
    275,276.10x = 412,914.15 × 181,101.45
  4. Step 4: Simplify right side
    275,276.10x = 74,779,351,290.52
  5. Step 5: Solve for x
    x = 74,779,351,290.52/275,276.10
  6. Step 6: Final answer
    x = 271,652.18

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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.