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Finding the Fourth Proportional to 177,131.30, 265,512.39 and 77,264.66

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Solution

The fourth proportional to 177,131.30, 265,512.39 and 77,264.66 is: 115,816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,131.30 : 265,512.39 = 77,264.66 : x
  2. Step 2: Convert to fraction form
    177,131.30/265,512.39 = 77,264.66/x
  3. Step 3: Cross multiply
    177,131.30x = 265,512.39 × 77,264.66
  4. Step 4: Simplify right side
    177,131.30x = 20,514,724,539.14
  5. Step 5: Solve for x
    x = 20,514,724,539.14/177,131.30
  6. Step 6: Final answer
    x = 115,816.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.