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Finding the Fourth Proportional to 107,142.75, 160,742.68 and 53,820.25

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Solution

The fourth proportional to 107,142.75, 160,742.68 and 53,820.25 is: 80,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,142.75 : 160,742.68 = 53,820.25 : x
  2. Step 2: Convert to fraction form
    107,142.75/160,742.68 = 53,820.25/x
  3. Step 3: Cross multiply
    107,142.75x = 160,742.68 × 53,820.25
  4. Step 4: Simplify right side
    107,142.75x = 8,651,210,686.86
  5. Step 5: Solve for x
    x = 8,651,210,686.86/107,142.75
  6. Step 6: Final answer
    x = 80,744.71

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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.