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Finding the Fourth Proportional to 180,020, 269,884.20 and 74,917.64

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Solution

The fourth proportional to 180,020, 269,884.20 and 74,917.64 is: 112,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,020 : 269,884.20 = 74,917.64 : x
  2. Step 2: Convert to fraction form
    180,020/269,884.20 = 74,917.64/x
  3. Step 3: Cross multiply
    180,020x = 269,884.20 × 74,917.64
  4. Step 4: Simplify right side
    180,020x = 20,219,087,337.29
  5. Step 5: Solve for x
    x = 20,219,087,337.29/180,020
  6. Step 6: Final answer
    x = 112,315.78

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