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Finding the Fourth Proportional to 219,810.70, 329,716.05 and 164,514.70

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Solution

The fourth proportional to 219,810.70, 329,716.05 and 164,514.70 is: 246,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,810.70 : 329,716.05 = 164,514.70 : x
  2. Step 2: Convert to fraction form
    219,810.70/329,716.05 = 164,514.70/x
  3. Step 3: Cross multiply
    219,810.70x = 329,716.05 × 164,514.70
  4. Step 4: Simplify right side
    219,810.70x = 54,243,137,050.94
  5. Step 5: Solve for x
    x = 54,243,137,050.94/219,810.70
  6. Step 6: Final answer
    x = 246,772.05

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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.