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Finding the Fourth Proportional to 185,276.22, 277,912.14 and 45,034.98

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Solution

The fourth proportional to 185,276.22, 277,912.14 and 45,034.98 is: 67,551.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,276.22 : 277,912.14 = 45,034.98 : x
  2. Step 2: Convert to fraction form
    185,276.22/277,912.14 = 45,034.98/x
  3. Step 3: Cross multiply
    185,276.22x = 277,912.14 × 45,034.98
  4. Step 4: Simplify right side
    185,276.22x = 12,515,767,666.66
  5. Step 5: Solve for x
    x = 12,515,767,666.66/185,276.22
  6. Step 6: Final answer
    x = 67,551.94

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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.