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Finding the Fourth Proportional to 301,965.40, 453,207.30 and 133,744.60

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Solution

The fourth proportional to 301,965.40, 453,207.30 and 133,744.60 is: 200,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,965.40 : 453,207.30 = 133,744.60 : x
  2. Step 2: Convert to fraction form
    301,965.40/453,207.30 = 133,744.60/x
  3. Step 3: Cross multiply
    301,965.40x = 453,207.30 × 133,744.60
  4. Step 4: Simplify right side
    301,965.40x = 60,614,029,055.58
  5. Step 5: Solve for x
    x = 60,614,029,055.58/301,965.40
  6. Step 6: Final answer
    x = 200,731.70

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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.