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Finding the Fourth Proportional to 242,735.56, 364,145.04 and 74,251.84

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Solution

The fourth proportional to 242,735.56, 364,145.04 and 74,251.84 is: 111,390.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,735.56 : 364,145.04 = 74,251.84 : x
  2. Step 2: Convert to fraction form
    242,735.56/364,145.04 = 74,251.84/x
  3. Step 3: Cross multiply
    242,735.56x = 364,145.04 × 74,251.84
  4. Step 4: Simplify right side
    242,735.56x = 27,038,439,246.87
  5. Step 5: Solve for x
    x = 27,038,439,246.87/242,735.56
  6. Step 6: Final answer
    x = 111,390.52

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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.