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Finding the Fourth Proportional to 165,195.10, 231,739.70 and 165,195.10

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Solution

The fourth proportional to 165,195.10, 231,739.70 and 165,195.10 is: 231,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,195.10 : 231,739.70 = 165,195.10 : x
  2. Step 2: Convert to fraction form
    165,195.10/231,739.70 = 165,195.10/x
  3. Step 3: Cross multiply
    165,195.10x = 231,739.70 × 165,195.10
  4. Step 4: Simplify right side
    165,195.10x = 38,282,262,915.47
  5. Step 5: Solve for x
    x = 38,282,262,915.47/165,195.10
  6. Step 6: Final answer
    x = 231,739.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.