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Finding the Fourth Proportional to 135,872.80, 203,809.20 and 42,378.40

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Solution

The fourth proportional to 135,872.80, 203,809.20 and 42,378.40 is: 63,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,872.80 : 203,809.20 = 42,378.40 : x
  2. Step 2: Convert to fraction form
    135,872.80/203,809.20 = 42,378.40/x
  3. Step 3: Cross multiply
    135,872.80x = 203,809.20 × 42,378.40
  4. Step 4: Simplify right side
    135,872.80x = 8,637,107,801.28
  5. Step 5: Solve for x
    x = 8,637,107,801.28/135,872.80
  6. Step 6: Final answer
    x = 63,567.60

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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.