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Finding the Fourth Proportional to 275,973.58, 414,120.99 and 116,037.93

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Solution

The fourth proportional to 275,973.58, 414,120.99 and 116,037.93 is: 174,124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,973.58 : 414,120.99 = 116,037.93 : x
  2. Step 2: Convert to fraction form
    275,973.58/414,120.99 = 116,037.93/x
  3. Step 3: Cross multiply
    275,973.58x = 414,120.99 × 116,037.93
  4. Step 4: Simplify right side
    275,973.58x = 48,053,744,437.25
  5. Step 5: Solve for x
    x = 48,053,744,437.25/275,973.58
  6. Step 6: Final answer
    x = 174,124.44

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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.