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Finding the Fourth Proportional to 109,609.10, 164,413.65 and 97,361.90

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Solution

The fourth proportional to 109,609.10, 164,413.65 and 97,361.90 is: 146,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,609.10 : 164,413.65 = 97,361.90 : x
  2. Step 2: Convert to fraction form
    109,609.10/164,413.65 = 97,361.90/x
  3. Step 3: Cross multiply
    109,609.10x = 164,413.65 × 97,361.90
  4. Step 4: Simplify right side
    109,609.10x = 16,007,625,349.94
  5. Step 5: Solve for x
    x = 16,007,625,349.94/109,609.10
  6. Step 6: Final answer
    x = 146,042.85

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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.