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Finding the Fourth Proportional to 223,827.30, 335,800.35 and 97,413.30

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Solution

The fourth proportional to 223,827.30, 335,800.35 and 97,413.30 is: 146,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,827.30 : 335,800.35 = 97,413.30 : x
  2. Step 2: Convert to fraction form
    223,827.30/335,800.35 = 97,413.30/x
  3. Step 3: Cross multiply
    223,827.30x = 335,800.35 × 97,413.30
  4. Step 4: Simplify right side
    223,827.30x = 32,711,420,234.66
  5. Step 5: Solve for x
    x = 32,711,420,234.66/223,827.30
  6. Step 6: Final answer
    x = 146,145.80

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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.