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Finding the Fourth Proportional to 177,275, 265,763.34 and 82,457

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Solution

The fourth proportional to 177,275, 265,763.34 and 82,457 is: 123,616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,275 : 265,763.34 = 82,457 : x
  2. Step 2: Convert to fraction form
    177,275/265,763.34 = 82,457/x
  3. Step 3: Cross multiply
    177,275x = 265,763.34 × 82,457
  4. Step 4: Simplify right side
    177,275x = 21,914,047,726.38
  5. Step 5: Solve for x
    x = 21,914,047,726.38/177,275
  6. Step 6: Final answer
    x = 123,616.12

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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.