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Finding the Fourth Proportional to 135,711.40, 203,567.10 and 65,727.40

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Solution

The fourth proportional to 135,711.40, 203,567.10 and 65,727.40 is: 98,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,711.40 : 203,567.10 = 65,727.40 : x
  2. Step 2: Convert to fraction form
    135,711.40/203,567.10 = 65,727.40/x
  3. Step 3: Cross multiply
    135,711.40x = 203,567.10 × 65,727.40
  4. Step 4: Simplify right side
    135,711.40x = 13,379,936,208.54
  5. Step 5: Solve for x
    x = 13,379,936,208.54/135,711.40
  6. Step 6: Final answer
    x = 98,591.10

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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.