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Finding the Fourth Proportional to 219,881.10, 329,821.65 and 164,585.10

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Solution

The fourth proportional to 219,881.10, 329,821.65 and 164,585.10 is: 246,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,881.10 : 329,821.65 = 164,585.10 : x
  2. Step 2: Convert to fraction form
    219,881.10/329,821.65 = 164,585.10/x
  3. Step 3: Cross multiply
    219,881.10x = 329,821.65 × 164,585.10
  4. Step 4: Simplify right side
    219,881.10x = 54,283,729,247.42
  5. Step 5: Solve for x
    x = 54,283,729,247.42/219,881.10
  6. Step 6: Final answer
    x = 246,877.65

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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.