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Finding the Fourth Proportional to 189,927.04, 284,800.80 and 56,760.80

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Solution

The fourth proportional to 189,927.04, 284,800.80 and 56,760.80 is: 85,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,927.04 : 284,800.80 = 56,760.80 : x
  2. Step 2: Convert to fraction form
    189,927.04/284,800.80 = 56,760.80/x
  3. Step 3: Cross multiply
    189,927.04x = 284,800.80 × 56,760.80
  4. Step 4: Simplify right side
    189,927.04x = 16,165,521,248.64
  5. Step 5: Solve for x
    x = 16,165,521,248.64/189,927.04
  6. Step 6: Final answer
    x = 85,114.37

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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.