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Finding the Fourth Proportional to 211,262.11, 316,890.16 and 51,339.22

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Solution

The fourth proportional to 211,262.11, 316,890.16 and 51,339.22 is: 77,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,262.11 : 316,890.16 = 51,339.22 : x
  2. Step 2: Convert to fraction form
    211,262.11/316,890.16 = 51,339.22/x
  3. Step 3: Cross multiply
    211,262.11x = 316,890.16 × 51,339.22
  4. Step 4: Simplify right side
    211,262.11x = 16,268,893,640.08
  5. Step 5: Solve for x
    x = 16,268,893,640.08/211,262.11
  6. Step 6: Final answer
    x = 77,008.10

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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.