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Finding the Fourth Proportional to 128,514.31, 177,328.59 and 80,733.82

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Solution

The fourth proportional to 128,514.31, 177,328.59 and 80,733.82 is: 111,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,514.31 : 177,328.59 = 80,733.82 : x
  2. Step 2: Convert to fraction form
    128,514.31/177,328.59 = 80,733.82/x
  3. Step 3: Cross multiply
    128,514.31x = 177,328.59 × 80,733.82
  4. Step 4: Simplify right side
    128,514.31x = 14,316,414,465.91
  5. Step 5: Solve for x
    x = 14,316,414,465.91/128,514.31
  6. Step 6: Final answer
    x = 111,399.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.