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Finding the Fourth Proportional to 133,616.52, 200,425.32 and 63,457.56

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Solution

The fourth proportional to 133,616.52, 200,425.32 and 63,457.56 is: 95,186.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,616.52 : 200,425.32 = 63,457.56 : x
  2. Step 2: Convert to fraction form
    133,616.52/200,425.32 = 63,457.56/x
  3. Step 3: Cross multiply
    133,616.52x = 200,425.32 × 63,457.56
  4. Step 4: Simplify right side
    133,616.52x = 12,718,501,769.42
  5. Step 5: Solve for x
    x = 12,718,501,769.42/133,616.52
  6. Step 6: Final answer
    x = 95,186.60

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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.