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Finding the Fourth Proportional to 132,255, 182,511.86 and 71,825.66

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Solution

The fourth proportional to 132,255, 182,511.86 and 71,825.66 is: 99,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,255 : 182,511.86 = 71,825.66 : x
  2. Step 2: Convert to fraction form
    132,255/182,511.86 = 71,825.66/x
  3. Step 3: Cross multiply
    132,255x = 182,511.86 × 71,825.66
  4. Step 4: Simplify right side
    132,255x = 13,109,034,215.06
  5. Step 5: Solve for x
    x = 13,109,034,215.06/132,255
  6. Step 6: Final answer
    x = 99,119.38

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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.