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Finding the Fourth Proportional to 258,701.51, 388,052.37 and 116,380.55

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Solution

The fourth proportional to 258,701.51, 388,052.37 and 116,380.55 is: 174,570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,701.51 : 388,052.37 = 116,380.55 : x
  2. Step 2: Convert to fraction form
    258,701.51/388,052.37 = 116,380.55/x
  3. Step 3: Cross multiply
    258,701.51x = 388,052.37 × 116,380.55
  4. Step 4: Simplify right side
    258,701.51x = 45,161,748,249.40
  5. Step 5: Solve for x
    x = 45,161,748,249.40/258,701.51
  6. Step 6: Final answer
    x = 174,570.87

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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.