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Finding the Fourth Proportional to 229,075.82, 343,531.39 and 79,275.43

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Solution

The fourth proportional to 229,075.82, 343,531.39 and 79,275.43 is: 118,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,075.82 : 343,531.39 = 79,275.43 : x
  2. Step 2: Convert to fraction form
    229,075.82/343,531.39 = 79,275.43/x
  3. Step 3: Cross multiply
    229,075.82x = 343,531.39 × 79,275.43
  4. Step 4: Simplify right side
    229,075.82x = 27,233,598,660.75
  5. Step 5: Solve for x
    x = 27,233,598,660.75/229,075.82
  6. Step 6: Final answer
    x = 118,884.65

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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.