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Finding the Fourth Proportional to 162,107.60, 243,080.94 and 55,461.38

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Solution

The fourth proportional to 162,107.60, 243,080.94 and 55,461.38 is: 83,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,107.60 : 243,080.94 = 55,461.38 : x
  2. Step 2: Convert to fraction form
    162,107.60/243,080.94 = 55,461.38/x
  3. Step 3: Cross multiply
    162,107.60x = 243,080.94 × 55,461.38
  4. Step 4: Simplify right side
    162,107.60x = 13,481,603,376.67
  5. Step 5: Solve for x
    x = 13,481,603,376.67/162,107.60
  6. Step 6: Final answer
    x = 83,164.54

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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.