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Finding the Fourth Proportional to 182,049.71, 273,064.74 and 55,689.98

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Solution

The fourth proportional to 182,049.71, 273,064.74 and 55,689.98 is: 83,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,049.71 : 273,064.74 = 55,689.98 : x
  2. Step 2: Convert to fraction form
    182,049.71/273,064.74 = 55,689.98/x
  3. Step 3: Cross multiply
    182,049.71x = 273,064.74 × 55,689.98
  4. Step 4: Simplify right side
    182,049.71x = 15,206,968,543.98
  5. Step 5: Solve for x
    x = 15,206,968,543.98/182,049.71
  6. Step 6: Final answer
    x = 83,531.96

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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.