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Finding the Fourth Proportional to 108,522.70, 162,784.05 and 77,029.90

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Solution

The fourth proportional to 108,522.70, 162,784.05 and 77,029.90 is: 115,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,522.70 : 162,784.05 = 77,029.90 : x
  2. Step 2: Convert to fraction form
    108,522.70/162,784.05 = 77,029.90/x
  3. Step 3: Cross multiply
    108,522.70x = 162,784.05 × 77,029.90
  4. Step 4: Simplify right side
    108,522.70x = 12,539,239,093.10
  5. Step 5: Solve for x
    x = 12,539,239,093.10/108,522.70
  6. Step 6: Final answer
    x = 115,544.85

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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.