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Finding the Fourth Proportional to 219,042.60, 328,103.10 and 182,178.60

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Solution

The fourth proportional to 219,042.60, 328,103.10 and 182,178.60 is: 272,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,042.60 : 328,103.10 = 182,178.60 : x
  2. Step 2: Convert to fraction form
    219,042.60/328,103.10 = 182,178.60/x
  3. Step 3: Cross multiply
    219,042.60x = 328,103.10 × 182,178.60
  4. Step 4: Simplify right side
    219,042.60x = 59,773,363,413.66
  5. Step 5: Solve for x
    x = 59,773,363,413.66/219,042.60
  6. Step 6: Final answer
    x = 272,884.65

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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.