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Finding the Fourth Proportional to 164,071.77, 246,112.85 and 51,752.98

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Solution

The fourth proportional to 164,071.77, 246,112.85 and 51,752.98 is: 77,631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,071.77 : 246,112.85 = 51,752.98 : x
  2. Step 2: Convert to fraction form
    164,071.77/246,112.85 = 51,752.98/x
  3. Step 3: Cross multiply
    164,071.77x = 246,112.85 × 51,752.98
  4. Step 4: Simplify right side
    164,071.77x = 12,737,073,403.79
  5. Step 5: Solve for x
    x = 12,737,073,403.79/164,071.77
  6. Step 6: Final answer
    x = 77,631.11

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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.