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Finding the Fourth Proportional to 253,101.29, 380,242.42 and 147,994.07

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Solution

The fourth proportional to 253,101.29, 380,242.42 and 147,994.07 is: 222,336.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,101.29 : 380,242.42 = 147,994.07 : x
  2. Step 2: Convert to fraction form
    253,101.29/380,242.42 = 147,994.07/x
  3. Step 3: Cross multiply
    253,101.29x = 380,242.42 × 147,994.07
  4. Step 4: Simplify right side
    253,101.29x = 56,273,621,051.25
  5. Step 5: Solve for x
    x = 56,273,621,051.25/253,101.29
  6. Step 6: Final answer
    x = 222,336.37

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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.