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Finding the Fourth Proportional to 102,163.45, 153,238.95 and 48,893.30

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Solution

The fourth proportional to 102,163.45, 153,238.95 and 48,893.30 is: 73,336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,163.45 : 153,238.95 = 48,893.30 : x
  2. Step 2: Convert to fraction form
    102,163.45/153,238.95 = 48,893.30/x
  3. Step 3: Cross multiply
    102,163.45x = 153,238.95 × 48,893.30
  4. Step 4: Simplify right side
    102,163.45x = 7,492,357,187.84
  5. Step 5: Solve for x
    x = 7,492,357,187.84/102,163.45
  6. Step 6: Final answer
    x = 73,336.96

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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.