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Finding the Fourth Proportional to 161,141.20, 241,711.80 and 137,813.20

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Solution

The fourth proportional to 161,141.20, 241,711.80 and 137,813.20 is: 206,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,141.20 : 241,711.80 = 137,813.20 : x
  2. Step 2: Convert to fraction form
    161,141.20/241,711.80 = 137,813.20/x
  3. Step 3: Cross multiply
    161,141.20x = 241,711.80 × 137,813.20
  4. Step 4: Simplify right side
    161,141.20x = 33,311,076,635.76
  5. Step 5: Solve for x
    x = 33,311,076,635.76/161,141.20
  6. Step 6: Final answer
    x = 206,719.80

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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.