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Finding the Fourth Proportional to 182,098.02, 273,143.78 and 69,747.78

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Solution

The fourth proportional to 182,098.02, 273,143.78 and 69,747.78 is: 104,620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,098.02 : 273,143.78 = 69,747.78 : x
  2. Step 2: Convert to fraction form
    182,098.02/273,143.78 = 69,747.78/x
  3. Step 3: Cross multiply
    182,098.02x = 273,143.78 × 69,747.78
  4. Step 4: Simplify right side
    182,098.02x = 19,051,172,275.81
  5. Step 5: Solve for x
    x = 19,051,172,275.81/182,098.02
  6. Step 6: Final answer
    x = 104,620.43

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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.