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Finding the Fourth Proportional to 189,960.75, 284,941.40 and 65,301.75

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Solution

The fourth proportional to 189,960.75, 284,941.40 and 65,301.75 is: 97,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,960.75 : 284,941.40 = 65,301.75 : x
  2. Step 2: Convert to fraction form
    189,960.75/284,941.40 = 65,301.75/x
  3. Step 3: Cross multiply
    189,960.75x = 284,941.40 × 65,301.75
  4. Step 4: Simplify right side
    189,960.75x = 18,607,171,740.94
  5. Step 5: Solve for x
    x = 18,607,171,740.94/189,960.75
  6. Step 6: Final answer
    x = 97,952.72

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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.