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Finding the Fourth Proportional to 230,913.46, 318,713.70 and 135,450.91

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Solution

The fourth proportional to 230,913.46, 318,713.70 and 135,450.91 is: 186,953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,913.46 : 318,713.70 = 135,450.91 : x
  2. Step 2: Convert to fraction form
    230,913.46/318,713.70 = 135,450.91/x
  3. Step 3: Cross multiply
    230,913.46x = 318,713.70 × 135,450.91
  4. Step 4: Simplify right side
    230,913.46x = 43,170,060,694.47
  5. Step 5: Solve for x
    x = 43,170,060,694.47/230,913.46
  6. Step 6: Final answer
    x = 186,953.42

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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.