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Finding the Fourth Proportional to 189,855.90, 284,798.43 and 56,725.92

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Solution

The fourth proportional to 189,855.90, 284,798.43 and 56,725.92 is: 85,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,855.90 : 284,798.43 = 56,725.92 : x
  2. Step 2: Convert to fraction form
    189,855.90/284,798.43 = 56,725.92/x
  3. Step 3: Cross multiply
    189,855.90x = 284,798.43 × 56,725.92
  4. Step 4: Simplify right side
    189,855.90x = 16,155,452,956.31
  5. Step 5: Solve for x
    x = 16,155,452,956.31/189,855.90
  6. Step 6: Final answer
    x = 85,093.24

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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.