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Finding the Fourth Proportional to 211,201.90, 316,219.65 and 164,545.90

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Solution

The fourth proportional to 211,201.90, 316,219.65 and 164,545.90 is: 246,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,201.90 : 316,219.65 = 164,545.90 : x
  2. Step 2: Convert to fraction form
    211,201.90/316,219.65 = 164,545.90/x
  3. Step 3: Cross multiply
    211,201.90x = 316,219.65 × 164,545.90
  4. Step 4: Simplify right side
    211,201.90x = 52,032,646,906.94
  5. Step 5: Solve for x
    x = 52,032,646,906.94/211,201.90
  6. Step 6: Final answer
    x = 246,364.48

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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.