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Finding the Fourth Proportional to 257,792.31, 355,796.14 and 150,362.34

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Solution

The fourth proportional to 257,792.31, 355,796.14 and 150,362.34 is: 207,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,792.31 : 355,796.14 = 150,362.34 : x
  2. Step 2: Convert to fraction form
    257,792.31/355,796.14 = 150,362.34/x
  3. Step 3: Cross multiply
    257,792.31x = 355,796.14 × 150,362.34
  4. Step 4: Simplify right side
    257,792.31x = 53,498,338,956.60
  5. Step 5: Solve for x
    x = 53,498,338,956.60/257,792.31
  6. Step 6: Final answer
    x = 207,524.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.