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Finding the Fourth Proportional to 105,512.80, 145,827.12 and 84,517.60

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Solution

The fourth proportional to 105,512.80, 145,827.12 and 84,517.60 is: 116,810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,512.80 : 145,827.12 = 84,517.60 : x
  2. Step 2: Convert to fraction form
    105,512.80/145,827.12 = 84,517.60/x
  3. Step 3: Cross multiply
    105,512.80x = 145,827.12 × 84,517.60
  4. Step 4: Simplify right side
    105,512.80x = 12,324,958,197.31
  5. Step 5: Solve for x
    x = 12,324,958,197.31/105,512.80
  6. Step 6: Final answer
    x = 116,810.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.