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Finding the Fourth Proportional to 116,276.40, 174,414.60 and 82,815.30

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Solution

The fourth proportional to 116,276.40, 174,414.60 and 82,815.30 is: 124,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,276.40 : 174,414.60 = 82,815.30 : x
  2. Step 2: Convert to fraction form
    116,276.40/174,414.60 = 82,815.30/x
  3. Step 3: Cross multiply
    116,276.40x = 174,414.60 × 82,815.30
  4. Step 4: Simplify right side
    116,276.40x = 14,444,197,423.38
  5. Step 5: Solve for x
    x = 14,444,197,423.38/116,276.40
  6. Step 6: Final answer
    x = 124,222.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.