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Finding the Fourth Proportional to 242,912.70, 364,282.65 and 109,856.70

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Solution

The fourth proportional to 242,912.70, 364,282.65 and 109,856.70 is: 164,745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,912.70 : 364,282.65 = 109,856.70 : x
  2. Step 2: Convert to fraction form
    242,912.70/364,282.65 = 109,856.70/x
  3. Step 3: Cross multiply
    242,912.70x = 364,282.65 × 109,856.70
  4. Step 4: Simplify right side
    242,912.70x = 40,018,889,796.26
  5. Step 5: Solve for x
    x = 40,018,889,796.26/242,912.70
  6. Step 6: Final answer
    x = 164,745.98

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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.