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Finding the Fourth Proportional to 211,299.74, 316,949.15 and 53,527.74

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Solution

The fourth proportional to 211,299.74, 316,949.15 and 53,527.74 is: 80,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,299.74 : 316,949.15 = 53,527.74 : x
  2. Step 2: Convert to fraction form
    211,299.74/316,949.15 = 53,527.74/x
  3. Step 3: Cross multiply
    211,299.74x = 316,949.15 × 53,527.74
  4. Step 4: Simplify right side
    211,299.74x = 16,965,570,639.68
  5. Step 5: Solve for x
    x = 16,965,570,639.68/211,299.74
  6. Step 6: Final answer
    x = 80,291.49

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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.