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Finding the Fourth Proportional to 252,807.94, 379,234.59 and 65,821.06

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Solution

The fourth proportional to 252,807.94, 379,234.59 and 65,821.06 is: 98,737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,807.94 : 379,234.59 = 65,821.06 : x
  2. Step 2: Convert to fraction form
    252,807.94/379,234.59 = 65,821.06/x
  3. Step 3: Cross multiply
    252,807.94x = 379,234.59 × 65,821.06
  4. Step 4: Simplify right side
    252,807.94x = 24,961,622,702.47
  5. Step 5: Solve for x
    x = 24,961,622,702.47/252,807.94
  6. Step 6: Final answer
    x = 98,737.49

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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.