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Finding the Fourth Proportional to 211,232.75, 316,849.59 and 51,307.97

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Solution

The fourth proportional to 211,232.75, 316,849.59 and 51,307.97 is: 76,962.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,232.75 : 316,849.59 = 51,307.97 : x
  2. Step 2: Convert to fraction form
    211,232.75/316,849.59 = 51,307.97/x
  3. Step 3: Cross multiply
    211,232.75x = 316,849.59 × 51,307.97
  4. Step 4: Simplify right side
    211,232.75x = 16,256,907,673.98
  5. Step 5: Solve for x
    x = 16,256,907,673.98/211,232.75
  6. Step 6: Final answer
    x = 76,962.06

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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.