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Finding the Fourth Proportional to 241,561.49, 361,947.66 and 146,820.65

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Solution

The fourth proportional to 241,561.49, 361,947.66 and 146,820.65 is: 219,991.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,561.49 : 361,947.66 = 146,820.65 : x
  2. Step 2: Convert to fraction form
    241,561.49/361,947.66 = 146,820.65/x
  3. Step 3: Cross multiply
    241,561.49x = 361,947.66 × 146,820.65
  4. Step 4: Simplify right side
    241,561.49x = 53,141,388,897.44
  5. Step 5: Solve for x
    x = 53,141,388,897.44/241,561.49
  6. Step 6: Final answer
    x = 219,991.15

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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.