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Finding the Fourth Proportional to 135,906, 187,533.30 and 75,468.43

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Solution

The fourth proportional to 135,906, 187,533.30 and 75,468.43 is: 104,137.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,906 : 187,533.30 = 75,468.43 : x
  2. Step 2: Convert to fraction form
    135,906/187,533.30 = 75,468.43/x
  3. Step 3: Cross multiply
    135,906x = 187,533.30 × 75,468.43
  4. Step 4: Simplify right side
    135,906x = 14,152,843,723.72
  5. Step 5: Solve for x
    x = 14,152,843,723.72/135,906
  6. Step 6: Final answer
    x = 104,137.00

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