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Finding the Fourth Proportional to 101,453.09, 152,178.10 and 34,893.80

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Solution

The fourth proportional to 101,453.09, 152,178.10 and 34,893.80 is: 52,340.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,453.09 : 152,178.10 = 34,893.80 : x
  2. Step 2: Convert to fraction form
    101,453.09/152,178.10 = 34,893.80/x
  3. Step 3: Cross multiply
    101,453.09x = 152,178.10 × 34,893.80
  4. Step 4: Simplify right side
    101,453.09x = 5,310,072,146.86
  5. Step 5: Solve for x
    x = 5,310,072,146.86/101,453.09
  6. Step 6: Final answer
    x = 52,340.17

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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.