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Finding the Fourth Proportional to 189,798.03, 284,691.51 and 49,556.66

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Solution

The fourth proportional to 189,798.03, 284,691.51 and 49,556.66 is: 74,333.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,798.03 : 284,691.51 = 49,556.66 : x
  2. Step 2: Convert to fraction form
    189,798.03/284,691.51 = 49,556.66/x
  3. Step 3: Cross multiply
    189,798.03x = 284,691.51 × 49,556.66
  4. Step 4: Simplify right side
    189,798.03x = 14,108,358,942.50
  5. Step 5: Solve for x
    x = 14,108,358,942.50/189,798.03
  6. Step 6: Final answer
    x = 74,333.54

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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.