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Finding the Fourth Proportional to 129,852.29, 179,200.82 and 75,400.38

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Solution

The fourth proportional to 129,852.29, 179,200.82 and 75,400.38 is: 104,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,852.29 : 179,200.82 = 75,400.38 : x
  2. Step 2: Convert to fraction form
    129,852.29/179,200.82 = 75,400.38/x
  3. Step 3: Cross multiply
    129,852.29x = 179,200.82 × 75,400.38
  4. Step 4: Simplify right side
    129,852.29x = 13,511,809,924.31
  5. Step 5: Solve for x
    x = 13,511,809,924.31/129,852.29
  6. Step 6: Final answer
    x = 104,055.23

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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.