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Finding the Fourth Proportional to 278,407.58, 384,203.49 and 151,083.14

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Solution

The fourth proportional to 278,407.58, 384,203.49 and 151,083.14 is: 208,495.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,407.58 : 384,203.49 = 151,083.14 : x
  2. Step 2: Convert to fraction form
    278,407.58/384,203.49 = 151,083.14/x
  3. Step 3: Cross multiply
    278,407.58x = 384,203.49 × 151,083.14
  4. Step 4: Simplify right side
    278,407.58x = 58,046,669,668.16
  5. Step 5: Solve for x
    x = 58,046,669,668.16/278,407.58
  6. Step 6: Final answer
    x = 208,495.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.