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Finding the Fourth Proportional to 260,023.30, 389,743.35 and 133,614.70

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Solution

The fourth proportional to 260,023.30, 389,743.35 and 133,614.70 is: 200,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,023.30 : 389,743.35 = 133,614.70 : x
  2. Step 2: Convert to fraction form
    260,023.30/389,743.35 = 133,614.70/x
  3. Step 3: Cross multiply
    260,023.30x = 389,743.35 × 133,614.70
  4. Step 4: Simplify right side
    260,023.30x = 52,075,440,787.25
  5. Step 5: Solve for x
    x = 52,075,440,787.25/260,023.30
  6. Step 6: Final answer
    x = 200,272.21

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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.