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Finding the Fourth Proportional to 133,473.56, 200,070.86 and 44,654

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Solution

The fourth proportional to 133,473.56, 200,070.86 and 44,654 is: 66,934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,473.56 : 200,070.86 = 44,654 : x
  2. Step 2: Convert to fraction form
    133,473.56/200,070.86 = 44,654/x
  3. Step 3: Cross multiply
    133,473.56x = 200,070.86 × 44,654
  4. Step 4: Simplify right side
    133,473.56x = 8,933,964,182.44
  5. Step 5: Solve for x
    x = 8,933,964,182.44/133,473.56
  6. Step 6: Final answer
    x = 66,934.34

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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.