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Finding the Fourth Proportional to 133,654.72, 200,457.86 and 53,689.46

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Solution

The fourth proportional to 133,654.72, 200,457.86 and 53,689.46 is: 80,524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,654.72 : 200,457.86 = 53,689.46 : x
  2. Step 2: Convert to fraction form
    133,654.72/200,457.86 = 53,689.46/x
  3. Step 3: Cross multiply
    133,654.72x = 200,457.86 × 53,689.46
  4. Step 4: Simplify right side
    133,654.72x = 10,762,474,256.16
  5. Step 5: Solve for x
    x = 10,762,474,256.16/133,654.72
  6. Step 6: Final answer
    x = 80,524.46

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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.