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Finding the Fourth Proportional to 258,201.80, 387,440.30 and 100,435.40

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Solution

The fourth proportional to 258,201.80, 387,440.30 and 100,435.40 is: 150,706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,201.80 : 387,440.30 = 100,435.40 : x
  2. Step 2: Convert to fraction form
    258,201.80/387,440.30 = 100,435.40/x
  3. Step 3: Cross multiply
    258,201.80x = 387,440.30 × 100,435.40
  4. Step 4: Simplify right side
    258,201.80x = 38,912,721,506.62
  5. Step 5: Solve for x
    x = 38,912,721,506.62/258,201.80
  6. Step 6: Final answer
    x = 150,706.62

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1.5x scale

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.