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Finding the Fourth Proportional to 133,197.67, 199,895.10 and 63,077.14

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Solution

The fourth proportional to 133,197.67, 199,895.10 and 63,077.14 is: 94,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,197.67 : 199,895.10 = 63,077.14 : x
  2. Step 2: Convert to fraction form
    133,197.67/199,895.10 = 63,077.14/x
  3. Step 3: Cross multiply
    133,197.67x = 199,895.10 × 63,077.14
  4. Step 4: Simplify right side
    133,197.67x = 12,608,811,208.01
  5. Step 5: Solve for x
    x = 12,608,811,208.01/133,197.67
  6. Step 6: Final answer
    x = 94,662.40

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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.