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Finding the Fourth Proportional to 241,085.60, 361,365.68 and 205,918.56

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Solution

The fourth proportional to 241,085.60, 361,365.68 and 205,918.56 is: 308,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,085.60 : 361,365.68 = 205,918.56 : x
  2. Step 2: Convert to fraction form
    241,085.60/361,365.68 = 205,918.56/x
  3. Step 3: Cross multiply
    241,085.60x = 361,365.68 × 205,918.56
  4. Step 4: Simplify right side
    241,085.60x = 74,411,900,459.02
  5. Step 5: Solve for x
    x = 74,411,900,459.02/241,085.60
  6. Step 6: Final answer
    x = 308,653.44

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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.