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Finding the Fourth Proportional to 103,730.90, 155,337.15 and 82,994.90

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Solution

The fourth proportional to 103,730.90, 155,337.15 and 82,994.90 is: 124,284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,730.90 : 155,337.15 = 82,994.90 : x
  2. Step 2: Convert to fraction form
    103,730.90/155,337.15 = 82,994.90/x
  3. Step 3: Cross multiply
    103,730.90x = 155,337.15 × 82,994.90
  4. Step 4: Simplify right side
    103,730.90x = 12,892,191,230.54
  5. Step 5: Solve for x
    x = 12,892,191,230.54/103,730.90
  6. Step 6: Final answer
    x = 124,284.96

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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.