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Finding the Fourth Proportional to 175,644.65, 263,466.98 and 42,524.90

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Solution

The fourth proportional to 175,644.65, 263,466.98 and 42,524.90 is: 63,787.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,644.65 : 263,466.98 = 42,524.90 : x
  2. Step 2: Convert to fraction form
    175,644.65/263,466.98 = 42,524.90/x
  3. Step 3: Cross multiply
    175,644.65x = 263,466.98 × 42,524.90
  4. Step 4: Simplify right side
    175,644.65x = 11,203,906,595.31
  5. Step 5: Solve for x
    x = 11,203,906,595.31/175,644.65
  6. Step 6: Final answer
    x = 63,787.35

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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.