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Finding the Fourth Proportional to 259,129.02, 357,593.20 and 144,405.14

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Solution

The fourth proportional to 259,129.02, 357,593.20 and 144,405.14 is: 199,276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,129.02 : 357,593.20 = 144,405.14 : x
  2. Step 2: Convert to fraction form
    259,129.02/357,593.20 = 144,405.14/x
  3. Step 3: Cross multiply
    259,129.02x = 357,593.20 × 144,405.14
  4. Step 4: Simplify right side
    259,129.02x = 51,638,296,642.02
  5. Step 5: Solve for x
    x = 51,638,296,642.02/259,129.02
  6. Step 6: Final answer
    x = 199,276.39

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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.