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Finding the Fourth Proportional to 133,815.36, 200,720.70 and 32,614.32

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Solution

The fourth proportional to 133,815.36, 200,720.70 and 32,614.32 is: 48,920.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,815.36 : 200,720.70 = 32,614.32 : x
  2. Step 2: Convert to fraction form
    133,815.36/200,720.70 = 32,614.32/x
  3. Step 3: Cross multiply
    133,815.36x = 200,720.70 × 32,614.32
  4. Step 4: Simplify right side
    133,815.36x = 6,546,369,140.42
  5. Step 5: Solve for x
    x = 6,546,369,140.42/133,815.36
  6. Step 6: Final answer
    x = 48,920.91

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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.