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Finding the Fourth Proportional to 180,814.40, 270,962.40 and 133,056.80

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Solution

The fourth proportional to 180,814.40, 270,962.40 and 133,056.80 is: 199,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,814.40 : 270,962.40 = 133,056.80 : x
  2. Step 2: Convert to fraction form
    180,814.40/270,962.40 = 133,056.80/x
  3. Step 3: Cross multiply
    180,814.40x = 270,962.40 × 133,056.80
  4. Step 4: Simplify right side
    180,814.40x = 36,053,389,864.32
  5. Step 5: Solve for x
    x = 36,053,389,864.32/180,814.40
  6. Step 6: Final answer
    x = 199,394.46

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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.