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Finding the Fourth Proportional to 189,798.16, 284,691.70 and 49,556.80

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Solution

The fourth proportional to 189,798.16, 284,691.70 and 49,556.80 is: 74,333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,798.16 : 284,691.70 = 49,556.80 : x
  2. Step 2: Convert to fraction form
    189,798.16/284,691.70 = 49,556.80/x
  3. Step 3: Cross multiply
    189,798.16x = 284,691.70 × 49,556.80
  4. Step 4: Simplify right side
    189,798.16x = 14,108,409,638.56
  5. Step 5: Solve for x
    x = 14,108,409,638.56/189,798.16
  6. Step 6: Final answer
    x = 74,333.75

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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.