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Finding the Fourth Proportional to 198,050.06, 297,000.51 and 71,659.06

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Solution

The fourth proportional to 198,050.06, 297,000.51 and 71,659.06 is: 107,461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,050.06 : 297,000.51 = 71,659.06 : x
  2. Step 2: Convert to fraction form
    198,050.06/297,000.51 = 71,659.06/x
  3. Step 3: Cross multiply
    198,050.06x = 297,000.51 × 71,659.06
  4. Step 4: Simplify right side
    198,050.06x = 21,282,778,630.15
  5. Step 5: Solve for x
    x = 21,282,778,630.15/198,050.06
  6. Step 6: Final answer
    x = 107,461.61

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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.