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Finding the Fourth Proportional to 177,075.62, 265,468.69 and 82,364.85

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Solution

The fourth proportional to 177,075.62, 265,468.69 and 82,364.85 is: 123,479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,075.62 : 265,468.69 = 82,364.85 : x
  2. Step 2: Convert to fraction form
    177,075.62/265,468.69 = 82,364.85/x
  3. Step 3: Cross multiply
    177,075.62x = 265,468.69 × 82,364.85
  4. Step 4: Simplify right side
    177,075.62x = 21,865,288,934.50
  5. Step 5: Solve for x
    x = 21,865,288,934.50/177,075.62
  6. Step 6: Final answer
    x = 123,479.95

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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.