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Finding the Fourth Proportional to 275,032.41, 412,667.16 and 148,761.56

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Solution

The fourth proportional to 275,032.41, 412,667.16 and 148,761.56 is: 223,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,032.41 : 412,667.16 = 148,761.56 : x
  2. Step 2: Convert to fraction form
    275,032.41/412,667.16 = 148,761.56/x
  3. Step 3: Cross multiply
    275,032.41x = 412,667.16 × 148,761.56
  4. Step 4: Simplify right side
    275,032.41x = 61,389,010,956.18
  5. Step 5: Solve for x
    x = 61,389,010,956.18/275,032.41
  6. Step 6: Final answer
    x = 223,206.46

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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.