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Finding the Fourth Proportional to 171,205.04, 256,909.12 and 77,709.44

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Solution

The fourth proportional to 171,205.04, 256,909.12 and 77,709.44 is: 116,610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,205.04 : 256,909.12 = 77,709.44 : x
  2. Step 2: Convert to fraction form
    171,205.04/256,909.12 = 77,709.44/x
  3. Step 3: Cross multiply
    171,205.04x = 256,909.12 × 77,709.44
  4. Step 4: Simplify right side
    171,205.04x = 19,964,263,846.09
  5. Step 5: Solve for x
    x = 19,964,263,846.09/171,205.04
  6. Step 6: Final answer
    x = 116,610.26

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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.