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Finding the Fourth Proportional to 171,986.20, 257,892.90 and 78,386.20

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Solution

The fourth proportional to 171,986.20, 257,892.90 and 78,386.20 is: 117,539.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,986.20 : 257,892.90 = 78,386.20 : x
  2. Step 2: Convert to fraction form
    171,986.20/257,892.90 = 78,386.20/x
  3. Step 3: Cross multiply
    171,986.20x = 257,892.90 × 78,386.20
  4. Step 4: Simplify right side
    171,986.20x = 20,215,244,437.98
  5. Step 5: Solve for x
    x = 20,215,244,437.98/171,986.20
  6. Step 6: Final answer
    x = 117,539.92

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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.