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Finding the Fourth Proportional to 99,896.40, 137,796.48 and 59,583.20

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Solution

The fourth proportional to 99,896.40, 137,796.48 and 59,583.20 is: 82,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,896.40 : 137,796.48 = 59,583.20 : x
  2. Step 2: Convert to fraction form
    99,896.40/137,796.48 = 59,583.20/x
  3. Step 3: Cross multiply
    99,896.40x = 137,796.48 × 59,583.20
  4. Step 4: Simplify right side
    99,896.40x = 8,210,355,227.14
  5. Step 5: Solve for x
    x = 8,210,355,227.14/99,896.40
  6. Step 6: Final answer
    x = 82,188.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.