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Finding the Fourth Proportional to 265,097.13, 365,823.09 and 144,238.92

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Solution

The fourth proportional to 265,097.13, 365,823.09 and 144,238.92 is: 199,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,097.13 : 365,823.09 = 144,238.92 : x
  2. Step 2: Convert to fraction form
    265,097.13/365,823.09 = 144,238.92/x
  3. Step 3: Cross multiply
    265,097.13x = 365,823.09 × 144,238.92
  4. Step 4: Simplify right side
    265,097.13x = 52,765,927,412.66
  5. Step 5: Solve for x
    x = 52,765,927,412.66/265,097.13
  6. Step 6: Final answer
    x = 199,043.75

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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.