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Finding the Fourth Proportional to 215,206.34, 322,839.40 and 95,253.80

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Solution

The fourth proportional to 215,206.34, 322,839.40 and 95,253.80 is: 142,893.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,206.34 : 322,839.40 = 95,253.80 : x
  2. Step 2: Convert to fraction form
    215,206.34/322,839.40 = 95,253.80/x
  3. Step 3: Cross multiply
    215,206.34x = 322,839.40 × 95,253.80
  4. Step 4: Simplify right side
    215,206.34x = 30,751,678,606.07
  5. Step 5: Solve for x
    x = 30,751,678,606.07/215,206.34
  6. Step 6: Final answer
    x = 142,893.92

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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.