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Finding the Fourth Proportional to 189,466.86, 284,138.76 and 63,073.14

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Solution

The fourth proportional to 189,466.86, 284,138.76 and 63,073.14 is: 94,589.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,466.86 : 284,138.76 = 63,073.14 : x
  2. Step 2: Convert to fraction form
    189,466.86/284,138.76 = 63,073.14/x
  3. Step 3: Cross multiply
    189,466.86x = 284,138.76 × 63,073.14
  4. Step 4: Simplify right side
    189,466.86x = 17,921,523,788.91
  5. Step 5: Solve for x
    x = 17,921,523,788.91/189,466.86
  6. Step 6: Final answer
    x = 94,589.23

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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.