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Finding the Fourth Proportional to 387,375.97, 581,097.44 and 106,893.22

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Solution

The fourth proportional to 387,375.97, 581,097.44 and 106,893.22 is: 160,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,375.97 : 581,097.44 = 106,893.22 : x
  2. Step 2: Convert to fraction form
    387,375.97/581,097.44 = 106,893.22/x
  3. Step 3: Cross multiply
    387,375.97x = 581,097.44 × 106,893.22
  4. Step 4: Simplify right side
    387,375.97x = 62,115,376,495.36
  5. Step 5: Solve for x
    x = 62,115,376,495.36/387,375.97
  6. Step 6: Final answer
    x = 160,349.07

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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.