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Finding the Fourth Proportional to 132,129.36, 182,337.60 and 71,698.47

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Solution

The fourth proportional to 132,129.36, 182,337.60 and 71,698.47 is: 98,943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,129.36 : 182,337.60 = 71,698.47 : x
  2. Step 2: Convert to fraction form
    132,129.36/182,337.60 = 71,698.47/x
  3. Step 3: Cross multiply
    132,129.36x = 182,337.60 × 71,698.47
  4. Step 4: Simplify right side
    132,129.36x = 13,073,326,943.47
  5. Step 5: Solve for x
    x = 13,073,326,943.47/132,129.36
  6. Step 6: Final answer
    x = 98,943.39

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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.