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Finding the Fourth Proportional to 104,471.90, 156,775.05 and 57,758.30

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Solution

The fourth proportional to 104,471.90, 156,775.05 and 57,758.30 is: 86,674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,471.90 : 156,775.05 = 57,758.30 : x
  2. Step 2: Convert to fraction form
    104,471.90/156,775.05 = 57,758.30/x
  3. Step 3: Cross multiply
    104,471.90x = 156,775.05 × 57,758.30
  4. Step 4: Simplify right side
    104,471.90x = 9,055,060,370.42
  5. Step 5: Solve for x
    x = 9,055,060,370.42/104,471.90
  6. Step 6: Final answer
    x = 86,674.60

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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.