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Finding the Fourth Proportional to 177,078.74, 265,473.33 and 82,368

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Solution

The fourth proportional to 177,078.74, 265,473.33 and 82,368 is: 123,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,078.74 : 265,473.33 = 82,368 : x
  2. Step 2: Convert to fraction form
    177,078.74/265,473.33 = 82,368/x
  3. Step 3: Cross multiply
    177,078.74x = 265,473.33 × 82,368
  4. Step 4: Simplify right side
    177,078.74x = 21,866,507,245.44
  5. Step 5: Solve for x
    x = 21,866,507,245.44/177,078.74
  6. Step 6: Final answer
    x = 123,484.66

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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.