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Finding the Fourth Proportional to 382,114.90, 573,026.55 and 115,786.90

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Solution

The fourth proportional to 382,114.90, 573,026.55 and 115,786.90 is: 173,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,114.90 : 573,026.55 = 115,786.90 : x
  2. Step 2: Convert to fraction form
    382,114.90/573,026.55 = 115,786.90/x
  3. Step 3: Cross multiply
    382,114.90x = 573,026.55 × 115,786.90
  4. Step 4: Simplify right side
    382,114.90x = 66,348,967,842.20
  5. Step 5: Solve for x
    x = 66,348,967,842.20/382,114.90
  6. Step 6: Final answer
    x = 173,636.17

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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.