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Finding the Fourth Proportional to 241,344.54, 362,075.36 and 72,854.80

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Solution

The fourth proportional to 241,344.54, 362,075.36 and 72,854.80 is: 109,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,344.54 : 362,075.36 = 72,854.80 : x
  2. Step 2: Convert to fraction form
    241,344.54/362,075.36 = 72,854.80/x
  3. Step 3: Cross multiply
    241,344.54x = 362,075.36 × 72,854.80
  4. Step 4: Simplify right side
    241,344.54x = 26,378,926,668.27
  5. Step 5: Solve for x
    x = 26,378,926,668.27/241,344.54
  6. Step 6: Final answer
    x = 109,299.87

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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.