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Finding the Fourth Proportional to 189,893.04, 284,837.04 and 56,774.40

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Solution

The fourth proportional to 189,893.04, 284,837.04 and 56,774.40 is: 85,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,893.04 : 284,837.04 = 56,774.40 : x
  2. Step 2: Convert to fraction form
    189,893.04/284,837.04 = 56,774.40/x
  3. Step 3: Cross multiply
    189,893.04x = 284,837.04 × 56,774.40
  4. Step 4: Simplify right side
    189,893.04x = 16,171,452,043.78
  5. Step 5: Solve for x
    x = 16,171,452,043.78/189,893.04
  6. Step 6: Final answer
    x = 85,160.85

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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.