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Finding the Fourth Proportional to 264,987.84, 397,776.72 and 131,832

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Solution

The fourth proportional to 264,987.84, 397,776.72 and 131,832 is: 197,894.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,987.84 : 397,776.72 = 131,832 : x
  2. Step 2: Convert to fraction form
    264,987.84/397,776.72 = 131,832/x
  3. Step 3: Cross multiply
    264,987.84x = 397,776.72 × 131,832
  4. Step 4: Simplify right side
    264,987.84x = 52,439,700,551.04
  5. Step 5: Solve for x
    x = 52,439,700,551.04/264,987.84
  6. Step 6: Final answer
    x = 197,894.74

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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.