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Finding the Fourth Proportional to 253,101.63, 380,242.94 and 147,994.41

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Solution

The fourth proportional to 253,101.63, 380,242.94 and 147,994.41 is: 222,336.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,101.63 : 380,242.94 = 147,994.41 : x
  2. Step 2: Convert to fraction form
    253,101.63/380,242.94 = 147,994.41/x
  3. Step 3: Cross multiply
    253,101.63x = 380,242.94 × 147,994.41
  4. Step 4: Simplify right side
    253,101.63x = 56,273,829,561.97
  5. Step 5: Solve for x
    x = 56,273,829,561.97/253,101.63
  6. Step 6: Final answer
    x = 222,336.89

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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.