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Finding the Fourth Proportional to 259,172.39, 357,661.47 and 144,447.84

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Solution

The fourth proportional to 259,172.39, 357,661.47 and 144,447.84 is: 199,340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,172.39 : 357,661.47 = 144,447.84 : x
  2. Step 2: Convert to fraction form
    259,172.39/357,661.47 = 144,447.84/x
  3. Step 3: Cross multiply
    259,172.39x = 357,661.47 × 144,447.84
  4. Step 4: Simplify right side
    259,172.39x = 51,663,427,334.40
  5. Step 5: Solve for x
    x = 51,663,427,334.40/259,172.39
  6. Step 6: Final answer
    x = 199,340.01

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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.