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Finding the Fourth Proportional to 211,284.90, 316,344.15 and 164,628.90

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Solution

The fourth proportional to 211,284.90, 316,344.15 and 164,628.90 is: 246,488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,284.90 : 316,344.15 = 164,628.90 : x
  2. Step 2: Convert to fraction form
    211,284.90/316,344.15 = 164,628.90/x
  3. Step 3: Cross multiply
    211,284.90x = 316,344.15 × 164,628.90
  4. Step 4: Simplify right side
    211,284.90x = 52,079,389,435.94
  5. Step 5: Solve for x
    x = 52,079,389,435.94/211,284.90
  6. Step 6: Final answer
    x = 246,488.93

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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.