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Finding the Fourth Proportional to 258,577.56, 387,790.56 and 100,768.32

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Solution

The fourth proportional to 258,577.56, 387,790.56 and 100,768.32 is: 151,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,577.56 : 387,790.56 = 100,768.32 : x
  2. Step 2: Convert to fraction form
    258,577.56/387,790.56 = 100,768.32/x
  3. Step 3: Cross multiply
    258,577.56x = 387,790.56 × 100,768.32
  4. Step 4: Simplify right side
    258,577.56x = 39,077,003,243.06
  5. Step 5: Solve for x
    x = 39,077,003,243.06/258,577.56
  6. Step 6: Final answer
    x = 151,122.95

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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.