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Finding the Fourth Proportional to 163,042.38, 224,903.16 and 102,517.20

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Solution

The fourth proportional to 163,042.38, 224,903.16 and 102,517.20 is: 141,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,042.38 : 224,903.16 = 102,517.20 : x
  2. Step 2: Convert to fraction form
    163,042.38/224,903.16 = 102,517.20/x
  3. Step 3: Cross multiply
    163,042.38x = 224,903.16 × 102,517.20
  4. Step 4: Simplify right side
    163,042.38x = 23,056,442,234.35
  5. Step 5: Solve for x
    x = 23,056,442,234.35/163,042.38
  6. Step 6: Final answer
    x = 141,413.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.