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Finding the Fourth Proportional to 182,138, 273,182.38 and 49,026.24

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Solution

The fourth proportional to 182,138, 273,182.38 and 49,026.24 is: 73,532.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,138 : 273,182.38 = 49,026.24 : x
  2. Step 2: Convert to fraction form
    182,138/273,182.38 = 49,026.24/x
  3. Step 3: Cross multiply
    182,138x = 273,182.38 × 49,026.24
  4. Step 4: Simplify right side
    182,138x = 13,393,104,925.65
  5. Step 5: Solve for x
    x = 13,393,104,925.65/182,138
  6. Step 6: Final answer
    x = 73,532.73

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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.