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Finding the Fourth Proportional to 160,408.88, 240,612.24 and 125,378

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Solution

The fourth proportional to 160,408.88, 240,612.24 and 125,378 is: 188,066.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,408.88 : 240,612.24 = 125,378 : x
  2. Step 2: Convert to fraction form
    160,408.88/240,612.24 = 125,378/x
  3. Step 3: Cross multiply
    160,408.88x = 240,612.24 × 125,378
  4. Step 4: Simplify right side
    160,408.88x = 30,167,481,426.72
  5. Step 5: Solve for x
    x = 30,167,481,426.72/160,408.88
  6. Step 6: Final answer
    x = 188,066.16

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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.