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Finding the Fourth Proportional to 180,525.81, 270,688.94 and 123,664.83

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Solution

The fourth proportional to 180,525.81, 270,688.94 and 123,664.83 is: 185,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,525.81 : 270,688.94 = 123,664.83 : x
  2. Step 2: Convert to fraction form
    180,525.81/270,688.94 = 123,664.83/x
  3. Step 3: Cross multiply
    180,525.81x = 270,688.94 × 123,664.83
  4. Step 4: Simplify right side
    180,525.81x = 33,474,700,578.32
  5. Step 5: Solve for x
    x = 33,474,700,578.32/180,525.81
  6. Step 6: Final answer
    x = 185,428.89

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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.