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Finding the Fourth Proportional to 145,896.80, 218,844.98 and 57,087.98

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Solution

The fourth proportional to 145,896.80, 218,844.98 and 57,087.98 is: 85,631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,896.80 : 218,844.98 = 57,087.98 : x
  2. Step 2: Convert to fraction form
    145,896.80/218,844.98 = 57,087.98/x
  3. Step 3: Cross multiply
    145,896.80x = 218,844.98 × 57,087.98
  4. Step 4: Simplify right side
    145,896.80x = 12,493,416,889.84
  5. Step 5: Solve for x
    x = 12,493,416,889.84/145,896.80
  6. Step 6: Final answer
    x = 85,631.88

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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.