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Finding the Fourth Proportional to 270,045.88, 405,075.30 and 83,059

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Solution

The fourth proportional to 270,045.88, 405,075.30 and 83,059 is: 124,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,045.88 : 405,075.30 = 83,059 : x
  2. Step 2: Convert to fraction form
    270,045.88/405,075.30 = 83,059/x
  3. Step 3: Cross multiply
    270,045.88x = 405,075.30 × 83,059
  4. Step 4: Simplify right side
    270,045.88x = 33,645,149,342.70
  5. Step 5: Solve for x
    x = 33,645,149,342.70/270,045.88
  6. Step 6: Final answer
    x = 124,590.49

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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.