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Finding the Fourth Proportional to 211,296.96, 316,943.04 and 51,373.80

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Solution

The fourth proportional to 211,296.96, 316,943.04 and 51,373.80 is: 77,060.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,296.96 : 316,943.04 = 51,373.80 : x
  2. Step 2: Convert to fraction form
    211,296.96/316,943.04 = 51,373.80/x
  3. Step 3: Cross multiply
    211,296.96x = 316,943.04 × 51,373.80
  4. Step 4: Simplify right side
    211,296.96x = 16,282,568,348.35
  5. Step 5: Solve for x
    x = 16,282,568,348.35/211,296.96
  6. Step 6: Final answer
    x = 77,060.12

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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.