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Finding the Fourth Proportional to 104,977.70, 157,466.55 and 71,297.90

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Solution

The fourth proportional to 104,977.70, 157,466.55 and 71,297.90 is: 106,946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,977.70 : 157,466.55 = 71,297.90 : x
  2. Step 2: Convert to fraction form
    104,977.70/157,466.55 = 71,297.90/x
  3. Step 3: Cross multiply
    104,977.70x = 157,466.55 × 71,297.90
  4. Step 4: Simplify right side
    104,977.70x = 11,227,034,335.25
  5. Step 5: Solve for x
    x = 11,227,034,335.25/104,977.70
  6. Step 6: Final answer
    x = 106,946.85

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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.