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Finding the Fourth Proportional to 185,137.38, 277,722.27 and 52,018.74

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Solution

The fourth proportional to 185,137.38, 277,722.27 and 52,018.74 is: 78,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,137.38 : 277,722.27 = 52,018.74 : x
  2. Step 2: Convert to fraction form
    185,137.38/277,722.27 = 52,018.74/x
  3. Step 3: Cross multiply
    185,137.38x = 277,722.27 × 52,018.74
  4. Step 4: Simplify right side
    185,137.38x = 14,446,762,555.34
  5. Step 5: Solve for x
    x = 14,446,762,555.34/185,137.38
  6. Step 6: Final answer
    x = 78,032.66

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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.