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Finding the Fourth Proportional to 97,796.80, 146,695.20 and 97,105.60

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Solution

The fourth proportional to 97,796.80, 146,695.20 and 97,105.60 is: 145,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,796.80 : 146,695.20 = 97,105.60 : x
  2. Step 2: Convert to fraction form
    97,796.80/146,695.20 = 97,105.60/x
  3. Step 3: Cross multiply
    97,796.80x = 146,695.20 × 97,105.60
  4. Step 4: Simplify right side
    97,796.80x = 14,244,925,413.12
  5. Step 5: Solve for x
    x = 14,244,925,413.12/97,796.80
  6. Step 6: Final answer
    x = 145,658.40

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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.