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Finding the Fourth Proportional to 258,066, 387,131.81 and 71,077.50

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Solution

The fourth proportional to 258,066, 387,131.81 and 71,077.50 is: 106,625.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,066 : 387,131.81 = 71,077.50 : x
  2. Step 2: Convert to fraction form
    258,066/387,131.81 = 71,077.50/x
  3. Step 3: Cross multiply
    258,066x = 387,131.81 × 71,077.50
  4. Step 4: Simplify right side
    258,066x = 27,516,360,869.89
  5. Step 5: Solve for x
    x = 27,516,360,869.89/258,066
  6. Step 6: Final answer
    x = 106,625.29

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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.