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Finding the Fourth Proportional to 105,367.54, 157,884.85 and 85,549.27

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Solution

The fourth proportional to 105,367.54, 157,884.85 and 85,549.27 is: 128,188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,367.54 : 157,884.85 = 85,549.27 : x
  2. Step 2: Convert to fraction form
    105,367.54/157,884.85 = 85,549.27/x
  3. Step 3: Cross multiply
    105,367.54x = 157,884.85 × 85,549.27
  4. Step 4: Simplify right side
    105,367.54x = 13,506,933,661.56
  5. Step 5: Solve for x
    x = 13,506,933,661.56/105,367.54
  6. Step 6: Final answer
    x = 128,188.75

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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.