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Finding the Fourth Proportional to 132,466.12, 182,803.14 and 72,850.12

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Solution

The fourth proportional to 132,466.12, 182,803.14 and 72,850.12 is: 100,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,466.12 : 182,803.14 = 72,850.12 : x
  2. Step 2: Convert to fraction form
    132,466.12/182,803.14 = 72,850.12/x
  3. Step 3: Cross multiply
    132,466.12x = 182,803.14 × 72,850.12
  4. Step 4: Simplify right side
    132,466.12x = 13,317,230,685.38
  5. Step 5: Solve for x
    x = 13,317,230,685.38/132,466.12
  6. Step 6: Final answer
    x = 100,533.11

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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.