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Finding the Fourth Proportional to 171,966.20, 257,862.90 and 78,366.20

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Solution

The fourth proportional to 171,966.20, 257,862.90 and 78,366.20 is: 117,509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,966.20 : 257,862.90 = 78,366.20 : x
  2. Step 2: Convert to fraction form
    171,966.20/257,862.90 = 78,366.20/x
  3. Step 3: Cross multiply
    171,966.20x = 257,862.90 × 78,366.20
  4. Step 4: Simplify right side
    171,966.20x = 20,207,735,593.98
  5. Step 5: Solve for x
    x = 20,207,735,593.98/171,966.20
  6. Step 6: Final answer
    x = 117,509.93

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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.