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Finding the Fourth Proportional to 189,419.54, 284,118.92 and 114,519.57

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Solution

The fourth proportional to 189,419.54, 284,118.92 and 114,519.57 is: 171,773.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,419.54 : 284,118.92 = 114,519.57 : x
  2. Step 2: Convert to fraction form
    189,419.54/284,118.92 = 114,519.57/x
  3. Step 3: Cross multiply
    189,419.54x = 284,118.92 × 114,519.57
  4. Step 4: Simplify right side
    189,419.54x = 32,537,176,614.75
  5. Step 5: Solve for x
    x = 32,537,176,614.75/189,419.54
  6. Step 6: Final answer
    x = 171,773.08

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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.