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Finding the Fourth Proportional to 463,609.76, 695,380.08 and 148,100

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Solution

The fourth proportional to 463,609.76, 695,380.08 and 148,100 is: 222,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,609.76 : 695,380.08 = 148,100 : x
  2. Step 2: Convert to fraction form
    463,609.76/695,380.08 = 148,100/x
  3. Step 3: Cross multiply
    463,609.76x = 695,380.08 × 148,100
  4. Step 4: Simplify right side
    463,609.76x = 102,985,789,848
  5. Step 5: Solve for x
    x = 102,985,789,848/463,609.76
  6. Step 6: Final answer
    x = 222,138.96

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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.