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Finding the Fourth Proportional to 241,178.31, 361,770.51 and 91,378.36

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Solution

The fourth proportional to 241,178.31, 361,770.51 and 91,378.36 is: 137,068.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,178.31 : 361,770.51 = 91,378.36 : x
  2. Step 2: Convert to fraction form
    241,178.31/361,770.51 = 91,378.36/x
  3. Step 3: Cross multiply
    241,178.31x = 361,770.51 × 91,378.36
  4. Step 4: Simplify right side
    241,178.31x = 33,057,995,900.16
  5. Step 5: Solve for x
    x = 33,057,995,900.16/241,178.31
  6. Step 6: Final answer
    x = 137,068.69

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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.