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Finding the Fourth Proportional to 241,894.80, 362,842.20 and 136,918.80

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Solution

The fourth proportional to 241,894.80, 362,842.20 and 136,918.80 is: 205,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,894.80 : 362,842.20 = 136,918.80 : x
  2. Step 2: Convert to fraction form
    241,894.80/362,842.20 = 136,918.80/x
  3. Step 3: Cross multiply
    241,894.80x = 362,842.20 × 136,918.80
  4. Step 4: Simplify right side
    241,894.80x = 49,679,918,613.36
  5. Step 5: Solve for x
    x = 49,679,918,613.36/241,894.80
  6. Step 6: Final answer
    x = 205,378.20

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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.