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Finding the Fourth Proportional to 109,157.80, 163,744.26 and 42,575.80

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Solution

The fourth proportional to 109,157.80, 163,744.26 and 42,575.80 is: 63,866.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,157.80 : 163,744.26 = 42,575.80 : x
  2. Step 2: Convert to fraction form
    109,157.80/163,744.26 = 42,575.80/x
  3. Step 3: Cross multiply
    109,157.80x = 163,744.26 × 42,575.80
  4. Step 4: Simplify right side
    109,157.80x = 6,971,542,864.91
  5. Step 5: Solve for x
    x = 6,971,542,864.91/109,157.80
  6. Step 6: Final answer
    x = 63,866.65

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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.