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Finding the Fourth Proportional to 175,642.65, 263,464.65 and 42,522.71

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Solution

The fourth proportional to 175,642.65, 263,464.65 and 42,522.71 is: 63,784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,642.65 : 263,464.65 = 42,522.71 : x
  2. Step 2: Convert to fraction form
    175,642.65/263,464.65 = 42,522.71/x
  3. Step 3: Cross multiply
    175,642.65x = 263,464.65 × 42,522.71
  4. Step 4: Simplify right side
    175,642.65x = 11,203,229,589.88
  5. Step 5: Solve for x
    x = 11,203,229,589.88/175,642.65
  6. Step 6: Final answer
    x = 63,784.22

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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.