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Finding the Fourth Proportional to 260,704.10, 359,771.65 and 141,472.10

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Solution

The fourth proportional to 260,704.10, 359,771.65 and 141,472.10 is: 195,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,704.10 : 359,771.65 = 141,472.10 : x
  2. Step 2: Convert to fraction form
    260,704.10/359,771.65 = 141,472.10/x
  3. Step 3: Cross multiply
    260,704.10x = 359,771.65 × 141,472.10
  4. Step 4: Simplify right side
    260,704.10x = 50,897,649,047.11
  5. Step 5: Solve for x
    x = 50,897,649,047.11/260,704.10
  6. Step 6: Final answer
    x = 195,231.49

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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.