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Finding the Fourth Proportional to 219,326.83, 328,241.70 and 183,828.22

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Solution

The fourth proportional to 219,326.83, 328,241.70 and 183,828.22 is: 275,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,326.83 : 328,241.70 = 183,828.22 : x
  2. Step 2: Convert to fraction form
    219,326.83/328,241.70 = 183,828.22/x
  3. Step 3: Cross multiply
    219,326.83x = 328,241.70 × 183,828.22
  4. Step 4: Simplify right side
    219,326.83x = 60,340,086,620.17
  5. Step 5: Solve for x
    x = 60,340,086,620.17/219,326.83
  6. Step 6: Final answer
    x = 275,114.94

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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.