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Finding the Fourth Proportional to 263,915.80, 364,185.24 and 149,199.74

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Solution

The fourth proportional to 263,915.80, 364,185.24 and 149,199.74 is: 205,885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,915.80 : 364,185.24 = 149,199.74 : x
  2. Step 2: Convert to fraction form
    263,915.80/364,185.24 = 149,199.74/x
  3. Step 3: Cross multiply
    263,915.80x = 364,185.24 × 149,199.74
  4. Step 4: Simplify right side
    263,915.80x = 54,336,343,119.84
  5. Step 5: Solve for x
    x = 54,336,343,119.84/263,915.80
  6. Step 6: Final answer
    x = 205,885.15

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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.