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Finding the Fourth Proportional to 273,988.36, 411,215.82 and 107,893

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Solution

The fourth proportional to 273,988.36, 411,215.82 and 107,893 is: 161,931.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,988.36 : 411,215.82 = 107,893 : x
  2. Step 2: Convert to fraction form
    273,988.36/411,215.82 = 107,893/x
  3. Step 3: Cross multiply
    273,988.36x = 411,215.82 × 107,893
  4. Step 4: Simplify right side
    273,988.36x = 44,367,308,467.26
  5. Step 5: Solve for x
    x = 44,367,308,467.26/273,988.36
  6. Step 6: Final answer
    x = 161,931.36

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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.