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Finding the Fourth Proportional to 231,213.75, 346,820.64 and 65,001.75

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Solution

The fourth proportional to 231,213.75, 346,820.64 and 65,001.75 is: 97,502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,213.75 : 346,820.64 = 65,001.75 : x
  2. Step 2: Convert to fraction form
    231,213.75/346,820.64 = 65,001.75/x
  3. Step 3: Cross multiply
    231,213.75x = 346,820.64 × 65,001.75
  4. Step 4: Simplify right side
    231,213.75x = 22,543,948,536.12
  5. Step 5: Solve for x
    x = 22,543,948,536.12/231,213.75
  6. Step 6: Final answer
    x = 97,502.63

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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.