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Finding the Fourth Proportional to 113,855.80, 170,783.70 and 54,677.20

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Solution

The fourth proportional to 113,855.80, 170,783.70 and 54,677.20 is: 82,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,855.80 : 170,783.70 = 54,677.20 : x
  2. Step 2: Convert to fraction form
    113,855.80/170,783.70 = 54,677.20/x
  3. Step 3: Cross multiply
    113,855.80x = 170,783.70 × 54,677.20
  4. Step 4: Simplify right side
    113,855.80x = 9,337,974,521.64
  5. Step 5: Solve for x
    x = 9,337,974,521.64/113,855.80
  6. Step 6: Final answer
    x = 82,015.80

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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.