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Finding the Fourth Proportional to 230,249, 345,357.66 and 141,516.20

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Solution

The fourth proportional to 230,249, 345,357.66 and 141,516.20 is: 212,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,249 : 345,357.66 = 141,516.20 : x
  2. Step 2: Convert to fraction form
    230,249/345,357.66 = 141,516.20/x
  3. Step 3: Cross multiply
    230,249x = 345,357.66 × 141,516.20
  4. Step 4: Simplify right side
    230,249x = 48,873,703,684.09
  5. Step 5: Solve for x
    x = 48,873,703,684.09/230,249
  6. Step 6: Final answer
    x = 212,264.56

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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.