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Finding the Fourth Proportional to 211,094.39, 316,642.22 and 51,169.68

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Solution

The fourth proportional to 211,094.39, 316,642.22 and 51,169.68 is: 76,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,094.39 : 316,642.22 = 51,169.68 : x
  2. Step 2: Convert to fraction form
    211,094.39/316,642.22 = 51,169.68/x
  3. Step 3: Cross multiply
    211,094.39x = 316,642.22 × 51,169.68
  4. Step 4: Simplify right side
    211,094.39x = 16,202,480,816.04
  5. Step 5: Solve for x
    x = 16,202,480,816.04/211,094.39
  6. Step 6: Final answer
    x = 76,754.67

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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.