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Finding the Fourth Proportional to 132,672.40, 182,947.60 and 102,462.64

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Solution

The fourth proportional to 132,672.40, 182,947.60 and 102,462.64 is: 141,290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,672.40 : 182,947.60 = 102,462.64 : x
  2. Step 2: Convert to fraction form
    132,672.40/182,947.60 = 102,462.64/x
  3. Step 3: Cross multiply
    132,672.40x = 182,947.60 × 102,462.64
  4. Step 4: Simplify right side
    132,672.40x = 18,745,294,077.66
  5. Step 5: Solve for x
    x = 18,745,294,077.66/132,672.40
  6. Step 6: Final answer
    x = 141,290.08

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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.