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Finding the Fourth Proportional to 132,072.60, 197,963.10 and 72,950.70

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Solution

The fourth proportional to 132,072.60, 197,963.10 and 72,950.70 is: 109,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,072.60 : 197,963.10 = 72,950.70 : x
  2. Step 2: Convert to fraction form
    132,072.60/197,963.10 = 72,950.70/x
  3. Step 3: Cross multiply
    132,072.60x = 197,963.10 × 72,950.70
  4. Step 4: Simplify right side
    132,072.60x = 14,441,546,719.17
  5. Step 5: Solve for x
    x = 14,441,546,719.17/132,072.60
  6. Step 6: Final answer
    x = 109,345.52

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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.