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Finding the Fourth Proportional to 103,617.40, 155,166.90 and 82,881.40

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Solution

The fourth proportional to 103,617.40, 155,166.90 and 82,881.40 is: 124,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,617.40 : 155,166.90 = 82,881.40 : x
  2. Step 2: Convert to fraction form
    103,617.40/155,166.90 = 82,881.40/x
  3. Step 3: Cross multiply
    103,617.40x = 155,166.90 × 82,881.40
  4. Step 4: Simplify right side
    103,617.40x = 12,860,449,905.66
  5. Step 5: Solve for x
    x = 12,860,449,905.66/103,617.40
  6. Step 6: Final answer
    x = 124,114.77

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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.