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Finding the Fourth Proportional to 128,517.40, 192,776.10 and 83,416.60

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Solution

The fourth proportional to 128,517.40, 192,776.10 and 83,416.60 is: 125,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,517.40 : 192,776.10 = 83,416.60 : x
  2. Step 2: Convert to fraction form
    128,517.40/192,776.10 = 83,416.60/x
  3. Step 3: Cross multiply
    128,517.40x = 192,776.10 × 83,416.60
  4. Step 4: Simplify right side
    128,517.40x = 16,080,726,823.26
  5. Step 5: Solve for x
    x = 16,080,726,823.26/128,517.40
  6. Step 6: Final answer
    x = 125,124.90

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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.