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Finding the Fourth Proportional to 132,496.75, 182,848.40 and 72,880.75

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Solution

The fourth proportional to 132,496.75, 182,848.40 and 72,880.75 is: 100,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,496.75 : 182,848.40 = 72,880.75 : x
  2. Step 2: Convert to fraction form
    132,496.75/182,848.40 = 72,880.75/x
  3. Step 3: Cross multiply
    132,496.75x = 182,848.40 × 72,880.75
  4. Step 4: Simplify right side
    132,496.75x = 13,326,128,528.30
  5. Step 5: Solve for x
    x = 13,326,128,528.30/132,496.75
  6. Step 6: Final answer
    x = 100,577.02

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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.