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Finding the Fourth Proportional to 201,706.56, 278,331.12 and 116,807.04

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Solution

The fourth proportional to 201,706.56, 278,331.12 and 116,807.04 is: 161,179.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,706.56 : 278,331.12 = 116,807.04 : x
  2. Step 2: Convert to fraction form
    201,706.56/278,331.12 = 116,807.04/x
  3. Step 3: Cross multiply
    201,706.56x = 278,331.12 × 116,807.04
  4. Step 4: Simplify right side
    201,706.56x = 32,511,034,267.08
  5. Step 5: Solve for x
    x = 32,511,034,267.08/201,706.56
  6. Step 6: Final answer
    x = 161,179.86

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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.