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Finding the Fourth Proportional to 189,853.36, 284,799.40 and 65,178.16

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Solution

The fourth proportional to 189,853.36, 284,799.40 and 65,178.16 is: 97,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,853.36 : 284,799.40 = 65,178.16 : x
  2. Step 2: Convert to fraction form
    189,853.36/284,799.40 = 65,178.16/x
  3. Step 3: Cross multiply
    189,853.36x = 284,799.40 × 65,178.16
  4. Step 4: Simplify right side
    189,853.36x = 18,562,700,861.10
  5. Step 5: Solve for x
    x = 18,562,700,861.10/189,853.36
  6. Step 6: Final answer
    x = 97,773.89

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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.