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Finding the Fourth Proportional to 109,513.80, 164,276.10 and 57,025.80

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Solution

The fourth proportional to 109,513.80, 164,276.10 and 57,025.80 is: 85,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,513.80 : 164,276.10 = 57,025.80 : x
  2. Step 2: Convert to fraction form
    109,513.80/164,276.10 = 57,025.80/x
  3. Step 3: Cross multiply
    109,513.80x = 164,276.10 × 57,025.80
  4. Step 4: Simplify right side
    109,513.80x = 9,367,976,023.38
  5. Step 5: Solve for x
    x = 9,367,976,023.38/109,513.80
  6. Step 6: Final answer
    x = 85,541.51

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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.