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Finding the Fourth Proportional to 103,410.90, 155,116.35 and 82,674.90

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Solution

The fourth proportional to 103,410.90, 155,116.35 and 82,674.90 is: 124,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,410.90 : 155,116.35 = 82,674.90 : x
  2. Step 2: Convert to fraction form
    103,410.90/155,116.35 = 82,674.90/x
  3. Step 3: Cross multiply
    103,410.90x = 155,116.35 × 82,674.90
  4. Step 4: Simplify right side
    103,410.90x = 12,824,228,724.62
  5. Step 5: Solve for x
    x = 12,824,228,724.62/103,410.90
  6. Step 6: Final answer
    x = 124,012.35

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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.