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Finding the Fourth Proportional to 133,746.30, 200,449.35 and 54,771.30

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Solution

The fourth proportional to 133,746.30, 200,449.35 and 54,771.30 is: 82,087.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,746.30 : 200,449.35 = 54,771.30 : x
  2. Step 2: Convert to fraction form
    133,746.30/200,449.35 = 54,771.30/x
  3. Step 3: Cross multiply
    133,746.30x = 200,449.35 × 54,771.30
  4. Step 4: Simplify right side
    133,746.30x = 10,978,871,483.66
  5. Step 5: Solve for x
    x = 10,978,871,483.66/133,746.30
  6. Step 6: Final answer
    x = 82,087.29

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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.