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Finding the Fourth Proportional to 316,704.34, 475,072.80 and 80,049.04

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Solution

The fourth proportional to 316,704.34, 475,072.80 and 80,049.04 is: 120,077.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,704.34 : 475,072.80 = 80,049.04 : x
  2. Step 2: Convert to fraction form
    316,704.34/475,072.80 = 80,049.04/x
  3. Step 3: Cross multiply
    316,704.34x = 475,072.80 × 80,049.04
  4. Step 4: Simplify right side
    316,704.34x = 38,029,121,570.11
  5. Step 5: Solve for x
    x = 38,029,121,570.11/316,704.34
  6. Step 6: Final answer
    x = 120,077.68

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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.