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Finding the Fourth Proportional to 258,119, 387,193.08 and 91,907

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Solution

The fourth proportional to 258,119, 387,193.08 and 91,907 is: 137,865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,119 : 387,193.08 = 91,907 : x
  2. Step 2: Convert to fraction form
    258,119/387,193.08 = 91,907/x
  3. Step 3: Cross multiply
    258,119x = 387,193.08 × 91,907
  4. Step 4: Simplify right side
    258,119x = 35,585,754,403.56
  5. Step 5: Solve for x
    x = 35,585,754,403.56/258,119
  6. Step 6: Final answer
    x = 137,865.69

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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.