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Finding the Fourth Proportional to 164,338.14, 246,482.46 and 52,003.74

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Solution

The fourth proportional to 164,338.14, 246,482.46 and 52,003.74 is: 77,997.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,338.14 : 246,482.46 = 52,003.74 : x
  2. Step 2: Convert to fraction form
    164,338.14/246,482.46 = 52,003.74/x
  3. Step 3: Cross multiply
    164,338.14x = 246,482.46 × 52,003.74
  4. Step 4: Simplify right side
    164,338.14x = 12,818,009,764.40
  5. Step 5: Solve for x
    x = 12,818,009,764.40/164,338.14
  6. Step 6: Final answer
    x = 77,997.78

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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.