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Finding the Fourth Proportional to 171,189.52, 256,816.44 and 77,701.84

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Solution

The fourth proportional to 171,189.52, 256,816.44 and 77,701.84 is: 116,567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,189.52 : 256,816.44 = 77,701.84 : x
  2. Step 2: Convert to fraction form
    171,189.52/256,816.44 = 77,701.84/x
  3. Step 3: Cross multiply
    171,189.52x = 256,816.44 × 77,701.84
  4. Step 4: Simplify right side
    171,189.52x = 19,955,109,930.25
  5. Step 5: Solve for x
    x = 19,955,109,930.25/171,189.52
  6. Step 6: Final answer
    x = 116,567.36

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1.5x scale

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.